Finding the Third Proportional to 142,663 and 337,382

Step by Step Solution

1. Step 1: Write the proportion equation
   142,663 : 337,382 = 337,382 : x
2. Step 2: Convert to fraction form
   142,663/337,382 = 337,382/x
3. Step 3: Cross multiply
   142,663x = 337,382 × 337,382
4. Step 4: Simplify right side
   142,663x = 113,826,613,924
5. Step 5: Solve for x
   x = 113,826,613,924/142,663
6. Step 6: Final answer
   x = 797,870.60