Finding the Third Proportional to 69,916 and 151,496

Step by Step Solution

1. Step 1: Write the proportion equation
   69,916 : 151,496 = 151,496 : x
2. Step 2: Convert to fraction form
   69,916/151,496 = 151,496/x
3. Step 3: Cross multiply
   69,916x = 151,496 × 151,496
4. Step 4: Simplify right side
   69,916x = 22,951,038,016
5. Step 5: Solve for x
   x = 22,951,038,016/69,916
6. Step 6: Final answer
   x = 328,265.89