Finding the Third Proportional to 142,666 and 337,388

Step by Step Solution

1. Step 1: Write the proportion equation
   142,666 : 337,388 = 337,388 : x
2. Step 2: Convert to fraction form
   142,666/337,388 = 337,388/x
3. Step 3: Cross multiply
   142,666x = 337,388 × 337,388
4. Step 4: Simplify right side
   142,666x = 113,830,662,544
5. Step 5: Solve for x
   x = 113,830,662,544/142,666
6. Step 6: Final answer
   x = 797,882.20