Finding the Third Proportional to 85,401 and 187,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,401 : 187,150.50 = 187,150.50 : x
2. Step 2: Convert to fraction form
   85,401/187,150.50 = 187,150.50/x
3. Step 3: Cross multiply
   85,401x = 187,150.50 × 187,150.50
4. Step 4: Simplify right side
   85,401x = 35,025,309,650.25
5. Step 5: Solve for x
   x = 35,025,309,650.25/85,401
6. Step 6: Final answer
   x = 410,127.63