Finding the Third Proportional to 508,608 and 769,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   508,608 : 769,459.50 = 769,459.50 : x
2. Step 2: Convert to fraction form
   508,608/769,459.50 = 769,459.50/x
3. Step 3: Cross multiply
   508,608x = 769,459.50 × 769,459.50
4. Step 4: Simplify right side
   508,608x = 592,067,922,140.25
5. Step 5: Solve for x
   x = 592,067,922,140.25/508,608
6. Step 6: Final answer
   x = 1,164,094.79