Finding the Third Proportional to 79,926 and 175,080

Step by Step Solution

1. Step 1: Write the proportion equation
   79,926 : 175,080 = 175,080 : x
2. Step 2: Convert to fraction form
   79,926/175,080 = 175,080/x
3. Step 3: Cross multiply
   79,926x = 175,080 × 175,080
4. Step 4: Simplify right side
   79,926x = 30,653,006,400
5. Step 5: Solve for x
   x = 30,653,006,400/79,926
6. Step 6: Final answer
   x = 383,517.33