Finding the Third Proportional to 79,974 and 175,500

Step by Step Solution

1. Step 1: Write the proportion equation
   79,974 : 175,500 = 175,500 : x
2. Step 2: Convert to fraction form
   79,974/175,500 = 175,500/x
3. Step 3: Cross multiply
   79,974x = 175,500 × 175,500
4. Step 4: Simplify right side
   79,974x = 30,800,250,000
5. Step 5: Solve for x
   x = 30,800,250,000/79,974
6. Step 6: Final answer
   x = 385,128.29