Finding the Third Proportional to 69,128 and 148,096

Step by Step Solution

1. Step 1: Write the proportion equation
   69,128 : 148,096 = 148,096 : x
2. Step 2: Convert to fraction form
   69,128/148,096 = 148,096/x
3. Step 3: Cross multiply
   69,128x = 148,096 × 148,096
4. Step 4: Simplify right side
   69,128x = 21,932,425,216
5. Step 5: Solve for x
   x = 21,932,425,216/69,128
6. Step 6: Final answer
   x = 317,272.67