Finding the Third Proportional to 142,714 and 337,506

Step by Step Solution

1. Step 1: Write the proportion equation
   142,714 : 337,506 = 337,506 : x
2. Step 2: Convert to fraction form
   142,714/337,506 = 337,506/x
3. Step 3: Cross multiply
   142,714x = 337,506 × 337,506
4. Step 4: Simplify right side
   142,714x = 113,910,300,036
5. Step 5: Solve for x
   x = 113,910,300,036/142,714
6. Step 6: Final answer
   x = 798,171.87