Finding the Third Proportional to 262,606.50 and 416,874

Step by Step Solution

1. Step 1: Write the proportion equation
   262,606.50 : 416,874 = 416,874 : x
2. Step 2: Convert to fraction form
   262,606.50/416,874 = 416,874/x
3. Step 3: Cross multiply
   262,606.50x = 416,874 × 416,874
4. Step 4: Simplify right side
   262,606.50x = 173,783,931,876
5. Step 5: Solve for x
   x = 173,783,931,876/262,606.50
6. Step 6: Final answer
   x = 661,765.54