Finding the Third Proportional to 83,446 and 173,798

Step by Step Solution

1. Step 1: Write the proportion equation
   83,446 : 173,798 = 173,798 : x
2. Step 2: Convert to fraction form
   83,446/173,798 = 173,798/x
3. Step 3: Cross multiply
   83,446x = 173,798 × 173,798
4. Step 4: Simplify right side
   83,446x = 30,205,744,804
5. Step 5: Solve for x
   x = 30,205,744,804/83,446
6. Step 6: Final answer
   x = 361,979.54