Finding the Third Proportional to 814,106 and 1,196,782

Step by Step Solution

1. Step 1: Write the proportion equation
   814,106 : 1,196,782 = 1,196,782 : x
2. Step 2: Convert to fraction form
   814,106/1,196,782 = 1,196,782/x
3. Step 3: Cross multiply
   814,106x = 1,196,782 × 1,196,782
4. Step 4: Simplify right side
   814,106x = 1,432,287,155,524
5. Step 5: Solve for x
   x = 1,432,287,155,524/814,106
6. Step 6: Final answer
   x = 1,759,337.43