Finding the Third Proportional to 85,431 and 187,494

Step by Step Solution

1. Step 1: Write the proportion equation
   85,431 : 187,494 = 187,494 : x
2. Step 2: Convert to fraction form
   85,431/187,494 = 187,494/x
3. Step 3: Cross multiply
   85,431x = 187,494 × 187,494
4. Step 4: Simplify right side
   85,431x = 35,154,000,036
5. Step 5: Solve for x
   x = 35,154,000,036/85,431
6. Step 6: Final answer
   x = 411,489.97