Finding the Third Proportional to 85,662 and 186,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,662 : 186,025.50 = 186,025.50 : x
2. Step 2: Convert to fraction form
   85,662/186,025.50 = 186,025.50/x
3. Step 3: Cross multiply
   85,662x = 186,025.50 × 186,025.50
4. Step 4: Simplify right side
   85,662x = 34,605,486,650.25
5. Step 5: Solve for x
   x = 34,605,486,650.25/85,662
6. Step 6: Final answer
   x = 403,977.10