Finding the Third Proportional to 565,164 and 792,076

Step by Step Solution

1. Step 1: Write the proportion equation
   565,164 : 792,076 = 792,076 : x
2. Step 2: Convert to fraction form
   565,164/792,076 = 792,076/x
3. Step 3: Cross multiply
   565,164x = 792,076 × 792,076
4. Step 4: Simplify right side
   565,164x = 627,384,389,776
5. Step 5: Solve for x
   x = 627,384,389,776/565,164
6. Step 6: Final answer
   x = 1,110,092.63