Finding the Third Proportional to 85,872 and 187,002

Step by Step Solution

1. Step 1: Write the proportion equation
   85,872 : 187,002 = 187,002 : x
2. Step 2: Convert to fraction form
   85,872/187,002 = 187,002/x
3. Step 3: Cross multiply
   85,872x = 187,002 × 187,002
4. Step 4: Simplify right side
   85,872x = 34,969,748,004
5. Step 5: Solve for x
   x = 34,969,748,004/85,872
6. Step 6: Final answer
   x = 407,231.09