Finding the Third Proportional to 147,872 and 231,668

Step by Step Solution

1. Step 1: Write the proportion equation
   147,872 : 231,668 = 231,668 : x
2. Step 2: Convert to fraction form
   147,872/231,668 = 231,668/x
3. Step 3: Cross multiply
   147,872x = 231,668 × 231,668
4. Step 4: Simplify right side
   147,872x = 53,670,062,224
5. Step 5: Solve for x
   x = 53,670,062,224/147,872
6. Step 6: Final answer
   x = 362,949.46