Finding the Third Proportional to 266,728.50 and 409,002

Step by Step Solution

1. Step 1: Write the proportion equation
   266,728.50 : 409,002 = 409,002 : x
2. Step 2: Convert to fraction form
   266,728.50/409,002 = 409,002/x
3. Step 3: Cross multiply
   266,728.50x = 409,002 × 409,002
4. Step 4: Simplify right side
   266,728.50x = 167,282,636,004
5. Step 5: Solve for x
   x = 167,282,636,004/266,728.50
6. Step 6: Final answer
   x = 627,164.46