Finding the Third Proportional to 518,751 and 778,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   518,751 : 778,126.50 = 778,126.50 : x
2. Step 2: Convert to fraction form
   518,751/778,126.50 = 778,126.50/x
3. Step 3: Cross multiply
   518,751x = 778,126.50 × 778,126.50
4. Step 4: Simplify right side
   518,751x = 605,480,850,002.25
5. Step 5: Solve for x
   x = 605,480,850,002.25/518,751
6. Step 6: Final answer
   x = 1,167,189.75