Finding the Third Proportional to 85,520.81 and 185,638.71

Step by Step Solution

1. Step 1: Write the proportion equation
   85,520.81 : 185,638.71 = 185,638.71 : x
2. Step 2: Convert to fraction form
   85,520.81/185,638.71 = 185,638.71/x
3. Step 3: Cross multiply
   85,520.81x = 185,638.71 × 185,638.71
4. Step 4: Simplify right side
   85,520.81x = 34,461,730,998.54
5. Step 5: Solve for x
   x = 34,461,730,998.54/85,520.81
6. Step 6: Final answer
   x = 402,963.09