Finding the Third Proportional to 79,573 and 175,706

Step by Step Solution

1. Step 1: Write the proportion equation
   79,573 : 175,706 = 175,706 : x
2. Step 2: Convert to fraction form
   79,573/175,706 = 175,706/x
3. Step 3: Cross multiply
   79,573x = 175,706 × 175,706
4. Step 4: Simplify right side
   79,573x = 30,872,598,436
5. Step 5: Solve for x
   x = 30,872,598,436/79,573
6. Step 6: Final answer
   x = 387,978.31