Finding the Third Proportional to 82,976 and 178,816

Step by Step Solution

1. Step 1: Write the proportion equation
   82,976 : 178,816 = 178,816 : x
2. Step 2: Convert to fraction form
   82,976/178,816 = 178,816/x
3. Step 3: Cross multiply
   82,976x = 178,816 × 178,816
4. Step 4: Simplify right side
   82,976x = 31,975,161,856
5. Step 5: Solve for x
   x = 31,975,161,856/82,976
6. Step 6: Final answer
   x = 385,354.34