Finding the Third Proportional to 467,764 and 705,856

Step by Step Solution

1. Step 1: Write the proportion equation
   467,764 : 705,856 = 705,856 : x
2. Step 2: Convert to fraction form
   467,764/705,856 = 705,856/x
3. Step 3: Cross multiply
   467,764x = 705,856 × 705,856
4. Step 4: Simplify right side
   467,764x = 498,232,692,736
5. Step 5: Solve for x
   x = 498,232,692,736/467,764
6. Step 6: Final answer
   x = 1,065,136.89