Finding the Third Proportional to 514,856 and 797,196

Step by Step Solution

1. Step 1: Write the proportion equation
   514,856 : 797,196 = 797,196 : x
2. Step 2: Convert to fraction form
   514,856/797,196 = 797,196/x
3. Step 3: Cross multiply
   514,856x = 797,196 × 797,196
4. Step 4: Simplify right side
   514,856x = 635,521,462,416
5. Step 5: Solve for x
   x = 635,521,462,416/514,856
6. Step 6: Final answer
   x = 1,234,367.40