Finding the Third Proportional to 71,742 and 141,648

Step by Step Solution

1. Step 1: Write the proportion equation
   71,742 : 141,648 = 141,648 : x
2. Step 2: Convert to fraction form
   71,742/141,648 = 141,648/x
3. Step 3: Cross multiply
   71,742x = 141,648 × 141,648
4. Step 4: Simplify right side
   71,742x = 20,064,155,904
5. Step 5: Solve for x
   x = 20,064,155,904/71,742
6. Step 6: Final answer
   x = 279,670.99