Finding the Third Proportional to 45,546,999,282,147 and 69,386,147,413,096

Step by Step Solution

1. Step 1: Write the proportion equation
   45,546,999,282,147 : 69,386,147,413,096 = 69,386,147,413,096 : x
2. Step 2: Convert to fraction form
   45,546,999,282,147/69,386,147,413,096 = 69,386,147,413,096/x
3. Step 3: Cross multiply
   45,546,999,282,147x = 69,386,147,413,096 × 69,386,147,413,096
4. Step 4: Simplify right side
   45,546,999,282,147x = 4,814,437,452,831,888,839,152,762,880
5. Step 5: Solve for x
   x = 4,814,437,452,831,888,839,152,762,880/45,546,999,282,147
6. Step 6: Final answer
   x = 105,702,626,489,359.05