Finding the Third Proportional to 81,099.50 and 177,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,099.50 : 177,986.50 = 177,986.50 : x
2. Step 2: Convert to fraction form
   81,099.50/177,986.50 = 177,986.50/x
3. Step 3: Cross multiply
   81,099.50x = 177,986.50 × 177,986.50
4. Step 4: Simplify right side
   81,099.50x = 31,679,194,182.25
5. Step 5: Solve for x
   x = 31,679,194,182.25/81,099.50
6. Step 6: Final answer
   x = 390,621.33