Finding the Third Proportional to 565,192 and 792,116

Step by Step Solution

1. Step 1: Write the proportion equation
   565,192 : 792,116 = 792,116 : x
2. Step 2: Convert to fraction form
   565,192/792,116 = 792,116/x
3. Step 3: Cross multiply
   565,192x = 792,116 × 792,116
4. Step 4: Simplify right side
   565,192x = 627,447,757,456
5. Step 5: Solve for x
   x = 627,447,757,456/565,192
6. Step 6: Final answer
   x = 1,110,149.75