Finding the Third Proportional to 261,567 and 404,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,567 : 404,014.50 = 404,014.50 : x
2. Step 2: Convert to fraction form
   261,567/404,014.50 = 404,014.50/x
3. Step 3: Cross multiply
   261,567x = 404,014.50 × 404,014.50
4. Step 4: Simplify right side
   261,567x = 163,227,716,210.25
5. Step 5: Solve for x
   x = 163,227,716,210.25/261,567
6. Step 6: Final answer
   x = 624,037.88