Finding the Third Proportional to 83,712 and 173,256

Step by Step Solution

1. Step 1: Write the proportion equation
   83,712 : 173,256 = 173,256 : x
2. Step 2: Convert to fraction form
   83,712/173,256 = 173,256/x
3. Step 3: Cross multiply
   83,712x = 173,256 × 173,256
4. Step 4: Simplify right side
   83,712x = 30,017,641,536
5. Step 5: Solve for x
   x = 30,017,641,536/83,712
6. Step 6: Final answer
   x = 358,582.30