Finding the Third Proportional to 264,019 and 409,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,019 : 409,015.50 = 409,015.50 : x
2. Step 2: Convert to fraction form
   264,019/409,015.50 = 409,015.50/x
3. Step 3: Cross multiply
   264,019x = 409,015.50 × 409,015.50
4. Step 4: Simplify right side
   264,019x = 167,293,679,240.25
5. Step 5: Solve for x
   x = 167,293,679,240.25/264,019
6. Step 6: Final answer
   x = 633,642.58