Finding the Third Proportional to 63,829.50 and 137,271

Step by Step Solution

1. Step 1: Write the proportion equation
   63,829.50 : 137,271 = 137,271 : x
2. Step 2: Convert to fraction form
   63,829.50/137,271 = 137,271/x
3. Step 3: Cross multiply
   63,829.50x = 137,271 × 137,271
4. Step 4: Simplify right side
   63,829.50x = 18,843,327,441
5. Step 5: Solve for x
   x = 18,843,327,441/63,829.50
6. Step 6: Final answer
   x = 295,213.46