Finding the Third Proportional to 263,877.75 and 408,726

Step by Step Solution

1. Step 1: Write the proportion equation
   263,877.75 : 408,726 = 408,726 : x
2. Step 2: Convert to fraction form
   263,877.75/408,726 = 408,726/x
3. Step 3: Cross multiply
   263,877.75x = 408,726 × 408,726
4. Step 4: Simplify right side
   263,877.75x = 167,056,943,076
5. Step 5: Solve for x
   x = 167,056,943,076/263,877.75
6. Step 6: Final answer
   x = 633,084.61