Finding the Third Proportional to 461,105 and 705,650

Step by Step Solution

1. Step 1: Write the proportion equation
   461,105 : 705,650 = 705,650 : x
2. Step 2: Convert to fraction form
   461,105/705,650 = 705,650/x
3. Step 3: Cross multiply
   461,105x = 705,650 × 705,650
4. Step 4: Simplify right side
   461,105x = 497,941,922,500
5. Step 5: Solve for x
   x = 497,941,922,500/461,105
6. Step 6: Final answer
   x = 1,079,888.36