Finding the Third Proportional to 584,496 and 792,054

Step by Step Solution

1. Step 1: Write the proportion equation
   584,496 : 792,054 = 792,054 : x
2. Step 2: Convert to fraction form
   584,496/792,054 = 792,054/x
3. Step 3: Cross multiply
   584,496x = 792,054 × 792,054
4. Step 4: Simplify right side
   584,496x = 627,349,538,916
5. Step 5: Solve for x
   x = 627,349,538,916/584,496
6. Step 6: Final answer
   x = 1,073,317.08