Finding the Third Proportional to 85,414.50 and 186,916.31

Step by Step Solution

1. Step 1: Write the proportion equation
   85,414.50 : 186,916.31 = 186,916.31 : x
2. Step 2: Convert to fraction form
   85,414.50/186,916.31 = 186,916.31/x
3. Step 3: Cross multiply
   85,414.50x = 186,916.31 × 186,916.31
4. Step 4: Simplify right side
   85,414.50x = 34,937,707,878.60
5. Step 5: Solve for x
   x = 34,937,707,878.60/85,414.50
6. Step 6: Final answer
   x = 409,037.20