Finding the Third Proportional to 516,096 and 797,158

Step by Step Solution

1. Step 1: Write the proportion equation
   516,096 : 797,158 = 797,158 : x
2. Step 2: Convert to fraction form
   516,096/797,158 = 797,158/x
3. Step 3: Cross multiply
   516,096x = 797,158 × 797,158
4. Step 4: Simplify right side
   516,096x = 635,460,876,964
5. Step 5: Solve for x
   x = 635,460,876,964/516,096
6. Step 6: Final answer
   x = 1,231,284.25