Finding the Third Proportional to 76,342.50 and 109,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,342.50 : 109,957.50 = 109,957.50 : x
2. Step 2: Convert to fraction form
   76,342.50/109,957.50 = 109,957.50/x
3. Step 3: Cross multiply
   76,342.50x = 109,957.50 × 109,957.50
4. Step 4: Simplify right side
   76,342.50x = 12,090,651,806.25
5. Step 5: Solve for x
   x = 12,090,651,806.25/76,342.50
6. Step 6: Final answer
   x = 158,373.80