Finding the Third Proportional to 242,320 and 514,016

Step by Step Solution

1. Step 1: Write the proportion equation
   242,320 : 514,016 = 514,016 : x
2. Step 2: Convert to fraction form
   242,320/514,016 = 514,016/x
3. Step 3: Cross multiply
   242,320x = 514,016 × 514,016
4. Step 4: Simplify right side
   242,320x = 264,212,448,256
5. Step 5: Solve for x
   x = 264,212,448,256/242,320
6. Step 6: Final answer
   x = 1,090,345.20