Finding the Third Proportional to 109,082 and 237,872

Step by Step Solution

1. Step 1: Write the proportion equation
   109,082 : 237,872 = 237,872 : x
2. Step 2: Convert to fraction form
   109,082/237,872 = 237,872/x
3. Step 3: Cross multiply
   109,082x = 237,872 × 237,872
4. Step 4: Simplify right side
   109,082x = 56,583,088,384
5. Step 5: Solve for x
   x = 56,583,088,384/109,082
6. Step 6: Final answer
   x = 518,720.67