Finding the Third Proportional to 147,960 and 288,540

Step by Step Solution

1. Step 1: Write the proportion equation
   147,960 : 288,540 = 288,540 : x
2. Step 2: Convert to fraction form
   147,960/288,540 = 288,540/x
3. Step 3: Cross multiply
   147,960x = 288,540 × 288,540
4. Step 4: Simplify right side
   147,960x = 83,255,331,600
5. Step 5: Solve for x
   x = 83,255,331,600/147,960
6. Step 6: Final answer
   x = 562,688.10