Finding the Third Proportional to 467,746 and 705,849

Step by Step Solution

1. Step 1: Write the proportion equation
   467,746 : 705,849 = 705,849 : x
2. Step 2: Convert to fraction form
   467,746/705,849 = 705,849/x
3. Step 3: Cross multiply
   467,746x = 705,849 × 705,849
4. Step 4: Simplify right side
   467,746x = 498,222,810,801
5. Step 5: Solve for x
   x = 498,222,810,801/467,746
6. Step 6: Final answer
   x = 1,065,156.75