Finding the Third Proportional to 76,500.75 and 112,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,500.75 : 112,417.50 = 112,417.50 : x
2. Step 2: Convert to fraction form
   76,500.75/112,417.50 = 112,417.50/x
3. Step 3: Cross multiply
   76,500.75x = 112,417.50 × 112,417.50
4. Step 4: Simplify right side
   76,500.75x = 12,637,694,306.25
5. Step 5: Solve for x
   x = 12,637,694,306.25/76,500.75
6. Step 6: Final answer
   x = 165,197.00