Finding the Third Proportional to 1,024,296 and 1,359,216

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024,296 : 1,359,216 = 1,359,216 : x
2. Step 2: Convert to fraction form
   1,024,296/1,359,216 = 1,359,216/x
3. Step 3: Cross multiply
   1,024,296x = 1,359,216 × 1,359,216
4. Step 4: Simplify right side
   1,024,296x = 1,847,468,134,656
5. Step 5: Solve for x
   x = 1,847,468,134,656/1,024,296
6. Step 6: Final answer
   x = 1,803,646.73