Finding the Third Proportional to 465,936 and 705,922

Step by Step Solution

1. Step 1: Write the proportion equation
   465,936 : 705,922 = 705,922 : x
2. Step 2: Convert to fraction form
   465,936/705,922 = 705,922/x
3. Step 3: Cross multiply
   465,936x = 705,922 × 705,922
4. Step 4: Simplify right side
   465,936x = 498,325,870,084
5. Step 5: Solve for x
   x = 498,325,870,084/465,936
6. Step 6: Final answer
   x = 1,069,515.71