Finding the Third Proportional to 83,910 and 177,540

Step by Step Solution

1. Step 1: Write the proportion equation
   83,910 : 177,540 = 177,540 : x
2. Step 2: Convert to fraction form
   83,910/177,540 = 177,540/x
3. Step 3: Cross multiply
   83,910x = 177,540 × 177,540
4. Step 4: Simplify right side
   83,910x = 31,520,451,600
5. Step 5: Solve for x
   x = 31,520,451,600/83,910
6. Step 6: Final answer
   x = 375,645.95