Finding the Third Proportional to 666,384 and 1,032,144

Step by Step Solution

1. Step 1: Write the proportion equation
   666,384 : 1,032,144 = 1,032,144 : x
2. Step 2: Convert to fraction form
   666,384/1,032,144 = 1,032,144/x
3. Step 3: Cross multiply
   666,384x = 1,032,144 × 1,032,144
4. Step 4: Simplify right side
   666,384x = 1,065,321,236,736
5. Step 5: Solve for x
   x = 1,065,321,236,736/666,384
6. Step 6: Final answer
   x = 1,598,659.69