Finding the Third Proportional to 258,607.69 and 510,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,607.69 : 510,583.50 = 510,583.50 : x
2. Step 2: Convert to fraction form
   258,607.69/510,583.50 = 510,583.50/x
3. Step 3: Cross multiply
   258,607.69x = 510,583.50 × 510,583.50
4. Step 4: Simplify right side
   258,607.69x = 260,695,510,472.25
5. Step 5: Solve for x
   x = 260,695,510,472.25/258,607.69
6. Step 6: Final answer
   x = 1,008,073.32