Finding the Third Proportional to 142,710 and 337,498

Step by Step Solution

1. Step 1: Write the proportion equation
   142,710 : 337,498 = 337,498 : x
2. Step 2: Convert to fraction form
   142,710/337,498 = 337,498/x
3. Step 3: Cross multiply
   142,710x = 337,498 × 337,498
4. Step 4: Simplify right side
   142,710x = 113,904,900,004
5. Step 5: Solve for x
   x = 113,904,900,004/142,710
6. Step 6: Final answer
   x = 798,156.40