Finding the Third Proportional to 269,823 and 416,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,823 : 416,902.50 = 416,902.50 : x
2. Step 2: Convert to fraction form
   269,823/416,902.50 = 416,902.50/x
3. Step 3: Cross multiply
   269,823x = 416,902.50 × 416,902.50
4. Step 4: Simplify right side
   269,823x = 173,807,694,506.25
5. Step 5: Solve for x
   x = 173,807,694,506.25/269,823
6. Step 6: Final answer
   x = 644,154.48