Finding the Third Proportional to 142,738 and 337,564

Step by Step Solution

1. Step 1: Write the proportion equation
   142,738 : 337,564 = 337,564 : x
2. Step 2: Convert to fraction form
   142,738/337,564 = 337,564/x
3. Step 3: Cross multiply
   142,738x = 337,564 × 337,564
4. Step 4: Simplify right side
   142,738x = 113,949,454,096
5. Step 5: Solve for x
   x = 113,949,454,096/142,738
6. Step 6: Final answer
   x = 798,311.97