Finding the Third Proportional to 540,615 and 778,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   540,615 : 778,738.50 = 778,738.50 : x
2. Step 2: Convert to fraction form
   540,615/778,738.50 = 778,738.50/x
3. Step 3: Cross multiply
   540,615x = 778,738.50 × 778,738.50
4. Step 4: Simplify right side
   540,615x = 606,433,651,382.25
5. Step 5: Solve for x
   x = 606,433,651,382.25/540,615
6. Step 6: Final answer
   x = 1,121,747.73