Finding the Third Proportional to 76,443.75 and 112,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,443.75 : 112,414.50 = 112,414.50 : x
2. Step 2: Convert to fraction form
   76,443.75/112,414.50 = 112,414.50/x
3. Step 3: Cross multiply
   76,443.75x = 112,414.50 × 112,414.50
4. Step 4: Simplify right side
   76,443.75x = 12,637,019,810.25
5. Step 5: Solve for x
   x = 12,637,019,810.25/76,443.75
6. Step 6: Final answer
   x = 165,311.35