Finding the Third Proportional to 162,785 and 338,046

Step by Step Solution

1. Step 1: Write the proportion equation
   162,785 : 338,046 = 338,046 : x
2. Step 2: Convert to fraction form
   162,785/338,046 = 338,046/x
3. Step 3: Cross multiply
   162,785x = 338,046 × 338,046
4. Step 4: Simplify right side
   162,785x = 114,275,098,116
5. Step 5: Solve for x
   x = 114,275,098,116/162,785
6. Step 6: Final answer
   x = 702,000.17