Finding the Third Proportional to 501,187.50 and 776,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,187.50 : 776,749.50 = 776,749.50 : x
2. Step 2: Convert to fraction form
   501,187.50/776,749.50 = 776,749.50/x
3. Step 3: Cross multiply
   501,187.50x = 776,749.50 × 776,749.50
4. Step 4: Simplify right side
   501,187.50x = 603,339,785,750.25
5. Step 5: Solve for x
   x = 603,339,785,750.25/501,187.50
6. Step 6: Final answer
   x = 1,203,820.50