Finding the Third Proportional to 263,886 and 408,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,886 : 408,781.50 = 408,781.50 : x
2. Step 2: Convert to fraction form
   263,886/408,781.50 = 408,781.50/x
3. Step 3: Cross multiply
   263,886x = 408,781.50 × 408,781.50
4. Step 4: Simplify right side
   263,886x = 167,102,314,742.25
5. Step 5: Solve for x
   x = 167,102,314,742.25/263,886
6. Step 6: Final answer
   x = 633,236.76