Finding the Third Proportional to 261,532.50 and 404,127

Step by Step Solution

1. Step 1: Write the proportion equation
   261,532.50 : 404,127 = 404,127 : x
2. Step 2: Convert to fraction form
   261,532.50/404,127 = 404,127/x
3. Step 3: Cross multiply
   261,532.50x = 404,127 × 404,127
4. Step 4: Simplify right side
   261,532.50x = 163,318,632,129
5. Step 5: Solve for x
   x = 163,318,632,129/261,532.50
6. Step 6: Final answer
   x = 624,467.83