Finding the Third Proportional to 81,987 and 123,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,987 : 123,733.50 = 123,733.50 : x
2. Step 2: Convert to fraction form
   81,987/123,733.50 = 123,733.50/x
3. Step 3: Cross multiply
   81,987x = 123,733.50 × 123,733.50
4. Step 4: Simplify right side
   81,987x = 15,309,979,022.25
5. Step 5: Solve for x
   x = 15,309,979,022.25/81,987
6. Step 6: Final answer
   x = 186,736.67