Finding the Third Proportional to 85,687.50 and 185,955

Step by Step Solution

1. Step 1: Write the proportion equation
   85,687.50 : 185,955 = 185,955 : x
2. Step 2: Convert to fraction form
   85,687.50/185,955 = 185,955/x
3. Step 3: Cross multiply
   85,687.50x = 185,955 × 185,955
4. Step 4: Simplify right side
   85,687.50x = 34,579,262,025
5. Step 5: Solve for x
   x = 34,579,262,025/85,687.50
6. Step 6: Final answer
   x = 403,550.83