Finding the Third Proportional to 81,830 and 179,274

Step by Step Solution

1. Step 1: Write the proportion equation
   81,830 : 179,274 = 179,274 : x
2. Step 2: Convert to fraction form
   81,830/179,274 = 179,274/x
3. Step 3: Cross multiply
   81,830x = 179,274 × 179,274
4. Step 4: Simplify right side
   81,830x = 32,139,167,076
5. Step 5: Solve for x
   x = 32,139,167,076/81,830
6. Step 6: Final answer
   x = 392,755.31