Finding the Third Proportional to 269,701 and 409,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,701 : 409,472.50 = 409,472.50 : x
2. Step 2: Convert to fraction form
   269,701/409,472.50 = 409,472.50/x
3. Step 3: Cross multiply
   269,701x = 409,472.50 × 409,472.50
4. Step 4: Simplify right side
   269,701x = 167,667,728,256.25
5. Step 5: Solve for x
   x = 167,667,728,256.25/269,701
6. Step 6: Final answer
   x = 621,680.04