Finding the Third Proportional to 81,684 and 175,878

Step by Step Solution

1. Step 1: Write the proportion equation
   81,684 : 175,878 = 175,878 : x
2. Step 2: Convert to fraction form
   81,684/175,878 = 175,878/x
3. Step 3: Cross multiply
   81,684x = 175,878 × 175,878
4. Step 4: Simplify right side
   81,684x = 30,933,070,884
5. Step 5: Solve for x
   x = 30,933,070,884/81,684
6. Step 6: Final answer
   x = 378,691.92