Finding the Third Proportional to 514,738.50 and 776,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,738.50 : 776,158.50 = 776,158.50 : x
2. Step 2: Convert to fraction form
   514,738.50/776,158.50 = 776,158.50/x
3. Step 3: Cross multiply
   514,738.50x = 776,158.50 × 776,158.50
4. Step 4: Simplify right side
   514,738.50x = 602,422,017,122.25
5. Step 5: Solve for x
   x = 602,422,017,122.25/514,738.50
6. Step 6: Final answer
   x = 1,170,345.75