Finding the Third Proportional to 269,298 and 409,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,298 : 409,542.50 = 409,542.50 : x
2. Step 2: Convert to fraction form
   269,298/409,542.50 = 409,542.50/x
3. Step 3: Cross multiply
   269,298x = 409,542.50 × 409,542.50
4. Step 4: Simplify right side
   269,298x = 167,725,059,306.25
5. Step 5: Solve for x
   x = 167,725,059,306.25/269,298
6. Step 6: Final answer
   x = 622,823.26