Finding the Third Proportional to 80,810 and 175,862

Step by Step Solution

1. Step 1: Write the proportion equation
   80,810 : 175,862 = 175,862 : x
2. Step 2: Convert to fraction form
   80,810/175,862 = 175,862/x
3. Step 3: Cross multiply
   80,810x = 175,862 × 175,862
4. Step 4: Simplify right side
   80,810x = 30,927,443,044
5. Step 5: Solve for x
   x = 30,927,443,044/80,810
6. Step 6: Final answer
   x = 382,718.02