Finding the Third Proportional to 766,439 and 1,582,078

Step by Step Solution

1. Step 1: Write the proportion equation
   766,439 : 1,582,078 = 1,582,078 : x
2. Step 2: Convert to fraction form
   766,439/1,582,078 = 1,582,078/x
3. Step 3: Cross multiply
   766,439x = 1,582,078 × 1,582,078
4. Step 4: Simplify right side
   766,439x = 2,502,970,798,084
5. Step 5: Solve for x
   x = 2,502,970,798,084/766,439
6. Step 6: Final answer
   x = 3,265,714.29