Finding the Third Proportional to 83,550 and 172,638

Step by Step Solution

1. Step 1: Write the proportion equation
   83,550 : 172,638 = 172,638 : x
2. Step 2: Convert to fraction form
   83,550/172,638 = 172,638/x
3. Step 3: Cross multiply
   83,550x = 172,638 × 172,638
4. Step 4: Simplify right side
   83,550x = 29,803,879,044
5. Step 5: Solve for x
   x = 29,803,879,044/83,550
6. Step 6: Final answer
   x = 356,719.08