Finding the Third Proportional to 79,682 and 175,300

Step by Step Solution

1. Step 1: Write the proportion equation
   79,682 : 175,300 = 175,300 : x
2. Step 2: Convert to fraction form
   79,682/175,300 = 175,300/x
3. Step 3: Cross multiply
   79,682x = 175,300 × 175,300
4. Step 4: Simplify right side
   79,682x = 30,730,090,000
5. Step 5: Solve for x
   x = 30,730,090,000/79,682
6. Step 6: Final answer
   x = 385,659.12