Finding the Third Proportional to 71,508 and 141,216

Step by Step Solution

1. Step 1: Write the proportion equation
   71,508 : 141,216 = 141,216 : x
2. Step 2: Convert to fraction form
   71,508/141,216 = 141,216/x
3. Step 3: Cross multiply
   71,508x = 141,216 × 141,216
4. Step 4: Simplify right side
   71,508x = 19,941,958,656
5. Step 5: Solve for x
   x = 19,941,958,656/71,508
6. Step 6: Final answer
   x = 278,877.31