Finding the Third Proportional to 81,922 and 173,758

Step by Step Solution

1. Step 1: Write the proportion equation
   81,922 : 173,758 = 173,758 : x
2. Step 2: Convert to fraction form
   81,922/173,758 = 173,758/x
3. Step 3: Cross multiply
   81,922x = 173,758 × 173,758
4. Step 4: Simplify right side
   81,922x = 30,191,842,564
5. Step 5: Solve for x
   x = 30,191,842,564/81,922
6. Step 6: Final answer
   x = 368,543.77