Finding the Third Proportional to 582,156 and 1,266,824

Step by Step Solution

1. Step 1: Write the proportion equation
   582,156 : 1,266,824 = 1,266,824 : x
2. Step 2: Convert to fraction form
   582,156/1,266,824 = 1,266,824/x
3. Step 3: Cross multiply
   582,156x = 1,266,824 × 1,266,824
4. Step 4: Simplify right side
   582,156x = 1,604,843,046,976
5. Step 5: Solve for x
   x = 1,604,843,046,976/582,156
6. Step 6: Final answer
   x = 2,756,723.36