Finding the Third Proportional to 81,854.50 and 123,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,854.50 : 123,086.50 = 123,086.50 : x
2. Step 2: Convert to fraction form
   81,854.50/123,086.50 = 123,086.50/x
3. Step 3: Cross multiply
   81,854.50x = 123,086.50 × 123,086.50
4. Step 4: Simplify right side
   81,854.50x = 15,150,286,482.25
5. Step 5: Solve for x
   x = 15,150,286,482.25/81,854.50
6. Step 6: Final answer
   x = 185,088.01