Finding the Third Proportional to 80,833.50 and 89,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,833.50 : 89,095.50 = 89,095.50 : x
2. Step 2: Convert to fraction form
   80,833.50/89,095.50 = 89,095.50/x
3. Step 3: Cross multiply
   80,833.50x = 89,095.50 × 89,095.50
4. Step 4: Simplify right side
   80,833.50x = 7,938,008,120.25
5. Step 5: Solve for x
   x = 7,938,008,120.25/80,833.50
6. Step 6: Final answer
   x = 98,201.96