Finding the Third Proportional to 142,726 and 337,535

Step by Step Solution

1. Step 1: Write the proportion equation
   142,726 : 337,535 = 337,535 : x
2. Step 2: Convert to fraction form
   142,726/337,535 = 337,535/x
3. Step 3: Cross multiply
   142,726x = 337,535 × 337,535
4. Step 4: Simplify right side
   142,726x = 113,929,876,225
5. Step 5: Solve for x
   x = 113,929,876,225/142,726
6. Step 6: Final answer
   x = 798,241.92