Finding the Third Proportional to 269,304 and 409,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,304 : 409,552.50 = 409,552.50 : x
2. Step 2: Convert to fraction form
   269,304/409,552.50 = 409,552.50/x
3. Step 3: Cross multiply
   269,304x = 409,552.50 × 409,552.50
4. Step 4: Simplify right side
   269,304x = 167,733,250,256.25
5. Step 5: Solve for x
   x = 167,733,250,256.25/269,304
6. Step 6: Final answer
   x = 622,839.80