Finding the Third Proportional to 81,356.50 and 123,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,356.50 : 123,182.50 = 123,182.50 : x
2. Step 2: Convert to fraction form
   81,356.50/123,182.50 = 123,182.50/x
3. Step 3: Cross multiply
   81,356.50x = 123,182.50 × 123,182.50
4. Step 4: Simplify right side
   81,356.50x = 15,173,928,306.25
5. Step 5: Solve for x
   x = 15,173,928,306.25/81,356.50
6. Step 6: Final answer
   x = 186,511.57