Finding the Third Proportional to 69,702 and 152,745

Step by Step Solution

1. Step 1: Write the proportion equation
   69,702 : 152,745 = 152,745 : x
2. Step 2: Convert to fraction form
   69,702/152,745 = 152,745/x
3. Step 3: Cross multiply
   69,702x = 152,745 × 152,745
4. Step 4: Simplify right side
   69,702x = 23,331,035,025
5. Step 5: Solve for x
   x = 23,331,035,025/69,702
6. Step 6: Final answer
   x = 334,725.47