Finding the Third Proportional to 538,596 and 797,478.75

Step by Step Solution

1. Step 1: Write the proportion equation
   538,596 : 797,478.75 = 797,478.75 : x
2. Step 2: Convert to fraction form
   538,596/797,478.75 = 797,478.75/x
3. Step 3: Cross multiply
   538,596x = 797,478.75 × 797,478.75
4. Step 4: Simplify right side
   538,596x = 635,972,356,701.56
5. Step 5: Solve for x
   x = 635,972,356,701.56/538,596
6. Step 6: Final answer
   x = 1,180,796.66