Finding the Third Proportional to 456,996 and 729,774

Step by Step Solution

1. Step 1: Write the proportion equation
   456,996 : 729,774 = 729,774 : x
2. Step 2: Convert to fraction form
   456,996/729,774 = 729,774/x
3. Step 3: Cross multiply
   456,996x = 729,774 × 729,774
4. Step 4: Simplify right side
   456,996x = 532,570,091,076
5. Step 5: Solve for x
   x = 532,570,091,076/456,996
6. Step 6: Final answer
   x = 1,165,371.45