Finding the Third Proportional to 517,510 and 785,019

Step by Step Solution

1. Step 1: Write the proportion equation
   517,510 : 785,019 = 785,019 : x
2. Step 2: Convert to fraction form
   517,510/785,019 = 785,019/x
3. Step 3: Cross multiply
   517,510x = 785,019 × 785,019
4. Step 4: Simplify right side
   517,510x = 616,254,830,361
5. Step 5: Solve for x
   x = 616,254,830,361/517,510
6. Step 6: Final answer
   x = 1,190,807.58