Finding the Third Proportional to 108,408 and 172,650

Step by Step Solution

1. Step 1: Write the proportion equation
   108,408 : 172,650 = 172,650 : x
2. Step 2: Convert to fraction form
   108,408/172,650 = 172,650/x
3. Step 3: Cross multiply
   108,408x = 172,650 × 172,650
4. Step 4: Simplify right side
   108,408x = 29,808,022,500
5. Step 5: Solve for x
   x = 29,808,022,500/108,408
6. Step 6: Final answer
   x = 274,961.47