Finding the Third Proportional to 71,496 and 141,195

Step by Step Solution

1. Step 1: Write the proportion equation
   71,496 : 141,195 = 141,195 : x
2. Step 2: Convert to fraction form
   71,496/141,195 = 141,195/x
3. Step 3: Cross multiply
   71,496x = 141,195 × 141,195
4. Step 4: Simplify right side
   71,496x = 19,936,028,025
5. Step 5: Solve for x
   x = 19,936,028,025/71,496
6. Step 6: Final answer
   x = 278,841.17