Finding the Third Proportional to 517,023 and 776,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,023 : 776,080.50 = 776,080.50 : x
2. Step 2: Convert to fraction form
   517,023/776,080.50 = 776,080.50/x
3. Step 3: Cross multiply
   517,023x = 776,080.50 × 776,080.50
4. Step 4: Simplify right side
   517,023x = 602,300,942,480.25
5. Step 5: Solve for x
   x = 602,300,942,480.25/517,023
6. Step 6: Final answer
   x = 1,164,940.33