Finding the Third Proportional to 814,064 and 1,196,704

Step by Step Solution

1. Step 1: Write the proportion equation
   814,064 : 1,196,704 = 1,196,704 : x
2. Step 2: Convert to fraction form
   814,064/1,196,704 = 1,196,704/x
3. Step 3: Cross multiply
   814,064x = 1,196,704 × 1,196,704
4. Step 4: Simplify right side
   814,064x = 1,432,100,463,616
5. Step 5: Solve for x
   x = 1,432,100,463,616/814,064
6. Step 6: Final answer
   x = 1,759,198.86