Finding the Third Proportional to 71,702 and 148,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,702 : 148,007.50 = 148,007.50 : x
2. Step 2: Convert to fraction form
   71,702/148,007.50 = 148,007.50/x
3. Step 3: Cross multiply
   71,702x = 148,007.50 × 148,007.50
4. Step 4: Simplify right side
   71,702x = 21,906,220,056.25
5. Step 5: Solve for x
   x = 21,906,220,056.25/71,702
6. Step 6: Final answer
   x = 305,517.56