Finding the Third Proportional to 83,976 and 177,600

Step by Step Solution

1. Step 1: Write the proportion equation
   83,976 : 177,600 = 177,600 : x
2. Step 2: Convert to fraction form
   83,976/177,600 = 177,600/x
3. Step 3: Cross multiply
   83,976x = 177,600 × 177,600
4. Step 4: Simplify right side
   83,976x = 31,541,760,000
5. Step 5: Solve for x
   x = 31,541,760,000/83,976
6. Step 6: Final answer
   x = 375,604.46