Finding the Third Proportional to 85,123.13 and 186,775.31

Step by Step Solution

1. Step 1: Write the proportion equation
   85,123.13 : 186,775.31 = 186,775.31 : x
2. Step 2: Convert to fraction form
   85,123.13/186,775.31 = 186,775.31/x
3. Step 3: Cross multiply
   85,123.13x = 186,775.31 × 186,775.31
4. Step 4: Simplify right side
   85,123.13x = 34,885,017,359.47
5. Step 5: Solve for x
   x = 34,885,017,359.47/85,123.13
6. Step 6: Final answer
   x = 409,818.34