Finding the Third Proportional to 500,814 and 776,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,814 : 776,494.50 = 776,494.50 : x
2. Step 2: Convert to fraction form
   500,814/776,494.50 = 776,494.50/x
3. Step 3: Cross multiply
   500,814x = 776,494.50 × 776,494.50
4. Step 4: Simplify right side
   500,814x = 602,943,708,530.25
5. Step 5: Solve for x
   x = 602,943,708,530.25/500,814
6. Step 6: Final answer
   x = 1,203,927.42