Finding the Third Proportional to 117,479 and 175,705

Step by Step Solution

1. Step 1: Write the proportion equation
   117,479 : 175,705 = 175,705 : x
2. Step 2: Convert to fraction form
   117,479/175,705 = 175,705/x
3. Step 3: Cross multiply
   117,479x = 175,705 × 175,705
4. Step 4: Simplify right side
   117,479x = 30,872,247,025
5. Step 5: Solve for x
   x = 30,872,247,025/117,479
6. Step 6: Final answer
   x = 262,789.49