Finding the Third Proportional to 64,880 and 142,530

Step by Step Solution

1. Step 1: Write the proportion equation
   64,880 : 142,530 = 142,530 : x
2. Step 2: Convert to fraction form
   64,880/142,530 = 142,530/x
3. Step 3: Cross multiply
   64,880x = 142,530 × 142,530
4. Step 4: Simplify right side
   64,880x = 20,314,800,900
5. Step 5: Solve for x
   x = 20,314,800,900/64,880
6. Step 6: Final answer
   x = 313,113.45