Finding the Third Proportional to 81,802 and 175,260

Step by Step Solution

1. Step 1: Write the proportion equation
   81,802 : 175,260 = 175,260 : x
2. Step 2: Convert to fraction form
   81,802/175,260 = 175,260/x
3. Step 3: Cross multiply
   81,802x = 175,260 × 175,260
4. Step 4: Simplify right side
   81,802x = 30,716,067,600
5. Step 5: Solve for x
   x = 30,716,067,600/81,802
6. Step 6: Final answer
   x = 375,492.87