Finding the Third Proportional to 140,880 and 288,242

Step by Step Solution

1. Step 1: Write the proportion equation
   140,880 : 288,242 = 288,242 : x
2. Step 2: Convert to fraction form
   140,880/288,242 = 288,242/x
3. Step 3: Cross multiply
   140,880x = 288,242 × 288,242
4. Step 4: Simplify right side
   140,880x = 83,083,450,564
5. Step 5: Solve for x
   x = 83,083,450,564/140,880
6. Step 6: Final answer
   x = 589,746.24