Finding the Third Proportional to 83,418 and 173,739

Step by Step Solution

1. Step 1: Write the proportion equation
   83,418 : 173,739 = 173,739 : x
2. Step 2: Convert to fraction form
   83,418/173,739 = 173,739/x
3. Step 3: Cross multiply
   83,418x = 173,739 × 173,739
4. Step 4: Simplify right side
   83,418x = 30,185,240,121
5. Step 5: Solve for x
   x = 30,185,240,121/83,418
6. Step 6: Final answer
   x = 361,855.24