Finding the Third Proportional to 462,783 and 699,105

Step by Step Solution

1. Step 1: Write the proportion equation
   462,783 : 699,105 = 699,105 : x
2. Step 2: Convert to fraction form
   462,783/699,105 = 699,105/x
3. Step 3: Cross multiply
   462,783x = 699,105 × 699,105
4. Step 4: Simplify right side
   462,783x = 488,747,801,025
5. Step 5: Solve for x
   x = 488,747,801,025/462,783
6. Step 6: Final answer
   x = 1,056,105.78