Finding the Third Proportional to 508,613 and 769,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   508,613 : 769,465.50 = 769,465.50 : x
2. Step 2: Convert to fraction form
   508,613/769,465.50 = 769,465.50/x
3. Step 3: Cross multiply
   508,613x = 769,465.50 × 769,465.50
4. Step 4: Simplify right side
   508,613x = 592,077,155,690.25
5. Step 5: Solve for x
   x = 592,077,155,690.25/508,613
6. Step 6: Final answer
   x = 1,164,101.50