Finding the Third Proportional to 262,615.50 and 416,886

Step by Step Solution

1. Step 1: Write the proportion equation
   262,615.50 : 416,886 = 416,886 : x
2. Step 2: Convert to fraction form
   262,615.50/416,886 = 416,886/x
3. Step 3: Cross multiply
   262,615.50x = 416,886 × 416,886
4. Step 4: Simplify right side
   262,615.50x = 173,793,936,996
5. Step 5: Solve for x
   x = 173,793,936,996/262,615.50
6. Step 6: Final answer
   x = 661,780.96