Finding the Third Proportional to 176,536.50 and 416,399.25

Step by Step Solution

1. Step 1: Write the proportion equation
   176,536.50 : 416,399.25 = 416,399.25 : x
2. Step 2: Convert to fraction form
   176,536.50/416,399.25 = 416,399.25/x
3. Step 3: Cross multiply
   176,536.50x = 416,399.25 × 416,399.25
4. Step 4: Simplify right side
   176,536.50x = 173,388,335,400.56
5. Step 5: Solve for x
   x = 173,388,335,400.56/176,536.50
6. Step 6: Final answer
   x = 982,167.06