Finding the Third Proportional to 514,826 and 778,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   514,826 : 778,889.50 = 778,889.50 : x
2. Step 2: Convert to fraction form
   514,826/778,889.50 = 778,889.50/x
3. Step 3: Cross multiply
   514,826x = 778,889.50 × 778,889.50
4. Step 4: Simplify right side
   514,826x = 606,668,853,210.25
5. Step 5: Solve for x
   x = 606,668,853,210.25/514,826
6. Step 6: Final answer
   x = 1,178,395.91