Finding the Third Proportional to 769,872 and 1,209,384

Step by Step Solution

1. Step 1: Write the proportion equation
   769,872 : 1,209,384 = 1,209,384 : x
2. Step 2: Convert to fraction form
   769,872/1,209,384 = 1,209,384/x
3. Step 3: Cross multiply
   769,872x = 1,209,384 × 1,209,384
4. Step 4: Simplify right side
   769,872x = 1,462,609,659,456
5. Step 5: Solve for x
   x = 1,462,609,659,456/769,872
6. Step 6: Final answer
   x = 1,899,808.88