Finding the Third Proportional to 162,802 and 338,078

Step by Step Solution

1. Step 1: Write the proportion equation
   162,802 : 338,078 = 338,078 : x
2. Step 2: Convert to fraction form
   162,802/338,078 = 338,078/x
3. Step 3: Cross multiply
   162,802x = 338,078 × 338,078
4. Step 4: Simplify right side
   162,802x = 114,296,734,084
5. Step 5: Solve for x
   x = 114,296,734,084/162,802
6. Step 6: Final answer
   x = 702,059.77