Finding the Third Proportional to 743,460 and 1,582,824

Step by Step Solution

1. Step 1: Write the proportion equation
   743,460 : 1,582,824 = 1,582,824 : x
2. Step 2: Convert to fraction form
   743,460/1,582,824 = 1,582,824/x
3. Step 3: Cross multiply
   743,460x = 1,582,824 × 1,582,824
4. Step 4: Simplify right side
   743,460x = 2,505,331,814,976
5. Step 5: Solve for x
   x = 2,505,331,814,976/743,460
6. Step 6: Final answer
   x = 3,369,827.31