Finding the Third Proportional to 261,529.50 and 404,123.63

Step by Step Solution

1. Step 1: Write the proportion equation
   261,529.50 : 404,123.63 = 404,123.63 : x
2. Step 2: Convert to fraction form
   261,529.50/404,123.63 = 404,123.63/x
3. Step 3: Cross multiply
   261,529.50x = 404,123.63 × 404,123.63
4. Step 4: Simplify right side
   261,529.50x = 163,315,904,283.14
5. Step 5: Solve for x
   x = 163,315,904,283.14/261,529.50
6. Step 6: Final answer
   x = 624,464.56