Finding the Third Proportional to 261,499.69 and 404,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,499.69 : 404,083.50 = 404,083.50 : x
2. Step 2: Convert to fraction form
   261,499.69/404,083.50 = 404,083.50/x
3. Step 3: Cross multiply
   261,499.69x = 404,083.50 × 404,083.50
4. Step 4: Simplify right side
   261,499.69x = 163,283,474,972.25
5. Step 5: Solve for x
   x = 163,283,474,972.25/261,499.69
6. Step 6: Final answer
   x = 624,411.74