Finding the Third Proportional to 81,801 and 173,490

Step by Step Solution

1. Step 1: Write the proportion equation
   81,801 : 173,490 = 173,490 : x
2. Step 2: Convert to fraction form
   81,801/173,490 = 173,490/x
3. Step 3: Cross multiply
   81,801x = 173,490 × 173,490
4. Step 4: Simplify right side
   81,801x = 30,098,780,100
5. Step 5: Solve for x
   x = 30,098,780,100/81,801
6. Step 6: Final answer
   x = 367,951.25