Finding the Third Proportional to 80,932.50 and 122,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,932.50 : 122,527.50 = 122,527.50 : x
2. Step 2: Convert to fraction form
   80,932.50/122,527.50 = 122,527.50/x
3. Step 3: Cross multiply
   80,932.50x = 122,527.50 × 122,527.50
4. Step 4: Simplify right side
   80,932.50x = 15,012,988,256.25
5. Step 5: Solve for x
   x = 15,012,988,256.25/80,932.50
6. Step 6: Final answer
   x = 185,500.12