Finding the Third Proportional to 142,665 and 337,387

Step by Step Solution

1. Step 1: Write the proportion equation
   142,665 : 337,387 = 337,387 : x
2. Step 2: Convert to fraction form
   142,665/337,387 = 337,387/x
3. Step 3: Cross multiply
   142,665x = 337,387 × 337,387
4. Step 4: Simplify right side
   142,665x = 113,829,987,769
5. Step 5: Solve for x
   x = 113,829,987,769/142,665
6. Step 6: Final answer
   x = 797,883.07