Finding the Third Proportional to 269,215 and 422,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,215 : 422,377.50 = 422,377.50 : x
2. Step 2: Convert to fraction form
   269,215/422,377.50 = 422,377.50/x
3. Step 3: Cross multiply
   269,215x = 422,377.50 × 422,377.50
4. Step 4: Simplify right side
   269,215x = 178,402,752,506.25
5. Step 5: Solve for x
   x = 178,402,752,506.25/269,215
6. Step 6: Final answer
   x = 662,677.61