Finding the Third Proportional to 83,930 and 178,048

Step by Step Solution

1. Step 1: Write the proportion equation
   83,930 : 178,048 = 178,048 : x
2. Step 2: Convert to fraction form
   83,930/178,048 = 178,048/x
3. Step 3: Cross multiply
   83,930x = 178,048 × 178,048
4. Step 4: Simplify right side
   83,930x = 31,701,090,304
5. Step 5: Solve for x
   x = 31,701,090,304/83,930
6. Step 6: Final answer
   x = 377,708.69