Finding the Third Proportional to 63,277.50 and 137,628

Step by Step Solution

1. Step 1: Write the proportion equation
   63,277.50 : 137,628 = 137,628 : x
2. Step 2: Convert to fraction form
   63,277.50/137,628 = 137,628/x
3. Step 3: Cross multiply
   63,277.50x = 137,628 × 137,628
4. Step 4: Simplify right side
   63,277.50x = 18,941,466,384
5. Step 5: Solve for x
   x = 18,941,466,384/63,277.50
6. Step 6: Final answer
   x = 299,339.68