Finding the Third Proportional to 71,541 and 141,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,541 : 141,280.50 = 141,280.50 : x
2. Step 2: Convert to fraction form
   71,541/141,280.50 = 141,280.50/x
3. Step 3: Cross multiply
   71,541x = 141,280.50 × 141,280.50
4. Step 4: Simplify right side
   71,541x = 19,960,179,680.25
5. Step 5: Solve for x
   x = 19,960,179,680.25/71,541
6. Step 6: Final answer
   x = 279,003.36