Finding the Third Proportional to 269,235 and 422,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,235 : 422,374.50 = 422,374.50 : x
2. Step 2: Convert to fraction form
   269,235/422,374.50 = 422,374.50/x
3. Step 3: Cross multiply
   269,235x = 422,374.50 × 422,374.50
4. Step 4: Simplify right side
   269,235x = 178,400,218,250.25
5. Step 5: Solve for x
   x = 178,400,218,250.25/269,235
6. Step 6: Final answer
   x = 662,618.97