Finding the Third Proportional to 62,856 and 85,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,856 : 85,414.50 = 85,414.50 : x
2. Step 2: Convert to fraction form
   62,856/85,414.50 = 85,414.50/x
3. Step 3: Cross multiply
   62,856x = 85,414.50 × 85,414.50
4. Step 4: Simplify right side
   62,856x = 7,295,636,810.25
5. Step 5: Solve for x
   x = 7,295,636,810.25/62,856
6. Step 6: Final answer
   x = 116,069.06