Finding the Third Proportional to 64,668 and 142,932

Step by Step Solution

1. Step 1: Write the proportion equation
   64,668 : 142,932 = 142,932 : x
2. Step 2: Convert to fraction form
   64,668/142,932 = 142,932/x
3. Step 3: Cross multiply
   64,668x = 142,932 × 142,932
4. Step 4: Simplify right side
   64,668x = 20,429,556,624
5. Step 5: Solve for x
   x = 20,429,556,624/64,668
6. Step 6: Final answer
   x = 315,914.47