Finding the Third Proportional to 140,355 and 288,963

Step by Step Solution

1. Step 1: Write the proportion equation
   140,355 : 288,963 = 288,963 : x
2. Step 2: Convert to fraction form
   140,355/288,963 = 288,963/x
3. Step 3: Cross multiply
   140,355x = 288,963 × 288,963
4. Step 4: Simplify right side
   140,355x = 83,499,615,369
5. Step 5: Solve for x
   x = 83,499,615,369/140,355
6. Step 6: Final answer
   x = 594,917.28