Finding the Third Proportional to 500,664 and 774,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   500,664 : 774,751.50 = 774,751.50 : x
2. Step 2: Convert to fraction form
   500,664/774,751.50 = 774,751.50/x
3. Step 3: Cross multiply
   500,664x = 774,751.50 × 774,751.50
4. Step 4: Simplify right side
   500,664x = 600,239,886,752.25
5. Step 5: Solve for x
   x = 600,239,886,752.25/500,664
6. Step 6: Final answer
   x = 1,198,887.65