Finding the Third Proportional to 162,782 and 338,040

Step by Step Solution

1. Step 1: Write the proportion equation
   162,782 : 338,040 = 338,040 : x
2. Step 2: Convert to fraction form
   162,782/338,040 = 338,040/x
3. Step 3: Cross multiply
   162,782x = 338,040 × 338,040
4. Step 4: Simplify right side
   162,782x = 114,271,041,600
5. Step 5: Solve for x
   x = 114,271,041,600/162,782
6. Step 6: Final answer
   x = 701,988.19