Finding the Third Proportional to 79,914 and 175,380

Step by Step Solution

1. Step 1: Write the proportion equation
   79,914 : 175,380 = 175,380 : x
2. Step 2: Convert to fraction form
   79,914/175,380 = 175,380/x
3. Step 3: Cross multiply
   79,914x = 175,380 × 175,380
4. Step 4: Simplify right side
   79,914x = 30,758,144,400
5. Step 5: Solve for x
   x = 30,758,144,400/79,914
6. Step 6: Final answer
   x = 384,890.56