Finding the Third Proportional to 123,972 and 271,668

Step by Step Solution

1. Step 1: Write the proportion equation
   123,972 : 271,668 = 271,668 : x
2. Step 2: Convert to fraction form
   123,972/271,668 = 271,668/x
3. Step 3: Cross multiply
   123,972x = 271,668 × 271,668
4. Step 4: Simplify right side
   123,972x = 73,803,502,224
5. Step 5: Solve for x
   x = 73,803,502,224/123,972
6. Step 6: Final answer
   x = 595,323.96