Finding the Third Proportional to 81,840 and 179,294

Step by Step Solution

1. Step 1: Write the proportion equation
   81,840 : 179,294 = 179,294 : x
2. Step 2: Convert to fraction form
   81,840/179,294 = 179,294/x
3. Step 3: Cross multiply
   81,840x = 179,294 × 179,294
4. Step 4: Simplify right side
   81,840x = 32,146,338,436
5. Step 5: Solve for x
   x = 32,146,338,436/81,840
6. Step 6: Final answer
   x = 392,794.95