Finding the Third Proportional to 80,572 and 172,804

Step by Step Solution

1. Step 1: Write the proportion equation
   80,572 : 172,804 = 172,804 : x
2. Step 2: Convert to fraction form
   80,572/172,804 = 172,804/x
3. Step 3: Cross multiply
   80,572x = 172,804 × 172,804
4. Step 4: Simplify right side
   80,572x = 29,861,222,416
5. Step 5: Solve for x
   x = 29,861,222,416/80,572
6. Step 6: Final answer
   x = 370,615.38