Finding the Third Proportional to 69,101 and 142,564

Step by Step Solution

1. Step 1: Write the proportion equation
   69,101 : 142,564 = 142,564 : x
2. Step 2: Convert to fraction form
   69,101/142,564 = 142,564/x
3. Step 3: Cross multiply
   69,101x = 142,564 × 142,564
4. Step 4: Simplify right side
   69,101x = 20,324,494,096
5. Step 5: Solve for x
   x = 20,324,494,096/69,101
6. Step 6: Final answer
   x = 294,127.35