Finding the Third Proportional to 495,009 and 772,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   495,009 : 772,078.50 = 772,078.50 : x
2. Step 2: Convert to fraction form
   495,009/772,078.50 = 772,078.50/x
3. Step 3: Cross multiply
   495,009x = 772,078.50 × 772,078.50
4. Step 4: Simplify right side
   495,009x = 596,105,210,162.25
5. Step 5: Solve for x
   x = 596,105,210,162.25/495,009
6. Step 6: Final answer
   x = 1,204,231.05