Finding the Third Proportional to 565,196 and 792,122

Step by Step Solution

1. Step 1: Write the proportion equation
   565,196 : 792,122 = 792,122 : x
2. Step 2: Convert to fraction form
   565,196/792,122 = 792,122/x
3. Step 3: Cross multiply
   565,196x = 792,122 × 792,122
4. Step 4: Simplify right side
   565,196x = 627,457,262,884
5. Step 5: Solve for x
   x = 627,457,262,884/565,196
6. Step 6: Final answer
   x = 1,110,158.71