Finding the Third Proportional to 261,530.50 and 404,125

Step by Step Solution

1. Step 1: Write the proportion equation
   261,530.50 : 404,125 = 404,125 : x
2. Step 2: Convert to fraction form
   261,530.50/404,125 = 404,125/x
3. Step 3: Cross multiply
   261,530.50x = 404,125 × 404,125
4. Step 4: Simplify right side
   261,530.50x = 163,317,015,625
5. Step 5: Solve for x
   x = 163,317,015,625/261,530.50
6. Step 6: Final answer
   x = 624,466.42