Finding the Third Proportional to 496,455 and 744,016

Step by Step Solution

1. Step 1: Write the proportion equation
   496,455 : 744,016 = 744,016 : x
2. Step 2: Convert to fraction form
   496,455/744,016 = 744,016/x
3. Step 3: Cross multiply
   496,455x = 744,016 × 744,016
4. Step 4: Simplify right side
   496,455x = 553,559,808,256
5. Step 5: Solve for x
   x = 553,559,808,256/496,455
6. Step 6: Final answer
   x = 1,115,025.14