Finding the Third Proportional to 269,218 and 416,807.75

Step by Step Solution

1. Step 1: Write the proportion equation
   269,218 : 416,807.75 = 416,807.75 : x
2. Step 2: Convert to fraction form
   269,218/416,807.75 = 416,807.75/x
3. Step 3: Cross multiply
   269,218x = 416,807.75 × 416,807.75
4. Step 4: Simplify right side
   269,218x = 173,728,700,460.06
5. Step 5: Solve for x
   x = 173,728,700,460.06/269,218
6. Step 6: Final answer
   x = 645,308.64