Finding the Third Proportional to 176,256 and 415,995.75

Step by Step Solution

1. Step 1: Write the proportion equation
   176,256 : 415,995.75 = 415,995.75 : x
2. Step 2: Convert to fraction form
   176,256/415,995.75 = 415,995.75/x
3. Step 3: Cross multiply
   176,256x = 415,995.75 × 415,995.75
4. Step 4: Simplify right side
   176,256x = 173,052,464,018.06
5. Step 5: Solve for x
   x = 173,052,464,018.06/176,256
6. Step 6: Final answer
   x = 981,824.53