Finding the Third Proportional to 517,028 and 776,090

Step by Step Solution

1. Step 1: Write the proportion equation
   517,028 : 776,090 = 776,090 : x
2. Step 2: Convert to fraction form
   517,028/776,090 = 776,090/x
3. Step 3: Cross multiply
   517,028x = 776,090 × 776,090
4. Step 4: Simplify right side
   517,028x = 602,315,688,100
5. Step 5: Solve for x
   x = 602,315,688,100/517,028
6. Step 6: Final answer
   x = 1,164,957.58