Finding the Third Proportional to 81,880 and 175,572

Step by Step Solution

1. Step 1: Write the proportion equation
   81,880 : 175,572 = 175,572 : x
2. Step 2: Convert to fraction form
   81,880/175,572 = 175,572/x
3. Step 3: Cross multiply
   81,880x = 175,572 × 175,572
4. Step 4: Simplify right side
   81,880x = 30,825,527,184
5. Step 5: Solve for x
   x = 30,825,527,184/81,880
6. Step 6: Final answer
   x = 376,472.00