Finding the Third Proportional to 82,572 and 175,800

Step by Step Solution

1. Step 1: Write the proportion equation
   82,572 : 175,800 = 175,800 : x
2. Step 2: Convert to fraction form
   82,572/175,800 = 175,800/x
3. Step 3: Cross multiply
   82,572x = 175,800 × 175,800
4. Step 4: Simplify right side
   82,572x = 30,905,640,000
5. Step 5: Solve for x
   x = 30,905,640,000/82,572
6. Step 6: Final answer
   x = 374,287.17