Finding the Third Proportional to 81,753 and 175,981

Step by Step Solution

1. Step 1: Write the proportion equation
   81,753 : 175,981 = 175,981 : x
2. Step 2: Convert to fraction form
   81,753/175,981 = 175,981/x
3. Step 3: Cross multiply
   81,753x = 175,981 × 175,981
4. Step 4: Simplify right side
   81,753x = 30,969,312,361
5. Step 5: Solve for x
   x = 30,969,312,361/81,753
6. Step 6: Final answer
   x = 378,815.61