Finding the Third Proportional to 784,864 and 1,215,024

Step by Step Solution

1. Step 1: Write the proportion equation
   784,864 : 1,215,024 = 1,215,024 : x
2. Step 2: Convert to fraction form
   784,864/1,215,024 = 1,215,024/x
3. Step 3: Cross multiply
   784,864x = 1,215,024 × 1,215,024
4. Step 4: Simplify right side
   784,864x = 1,476,283,320,576
5. Step 5: Solve for x
   x = 1,476,283,320,576/784,864
6. Step 6: Final answer
   x = 1,880,941.57