Finding the Third Proportional to 85,022.50 and 185,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,022.50 : 185,586.50 = 185,586.50 : x
2. Step 2: Convert to fraction form
   85,022.50/185,586.50 = 185,586.50/x
3. Step 3: Cross multiply
   85,022.50x = 185,586.50 × 185,586.50
4. Step 4: Simplify right side
   85,022.50x = 34,442,348,982.25
5. Step 5: Solve for x
   x = 34,442,348,982.25/85,022.50
6. Step 6: Final answer
   x = 405,096.87