Finding the Third Proportional to 505,491 and 760,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   505,491 : 760,288.50 = 760,288.50 : x
2. Step 2: Convert to fraction form
   505,491/760,288.50 = 760,288.50/x
3. Step 3: Cross multiply
   505,491x = 760,288.50 × 760,288.50
4. Step 4: Simplify right side
   505,491x = 578,038,603,232.25
5. Step 5: Solve for x
   x = 578,038,603,232.25/505,491
6. Step 6: Final answer
   x = 1,143,519.08