Finding the Third Proportional to 83,442 and 173,788

Step by Step Solution

1. Step 1: Write the proportion equation
   83,442 : 173,788 = 173,788 : x
2. Step 2: Convert to fraction form
   83,442/173,788 = 173,788/x
3. Step 3: Cross multiply
   83,442x = 173,788 × 173,788
4. Step 4: Simplify right side
   83,442x = 30,202,268,944
5. Step 5: Solve for x
   x = 30,202,268,944/83,442
6. Step 6: Final answer
   x = 361,955.24