Finding the Third Proportional to 179,978 and 416,662

Step by Step Solution

1. Step 1: Write the proportion equation
   179,978 : 416,662 = 416,662 : x
2. Step 2: Convert to fraction form
   179,978/416,662 = 416,662/x
3. Step 3: Cross multiply
   179,978x = 416,662 × 416,662
4. Step 4: Simplify right side
   179,978x = 173,607,222,244
5. Step 5: Solve for x
   x = 173,607,222,244/179,978
6. Step 6: Final answer
   x = 964,602.46