Finding the Third Proportional to 63,978.50 and 137,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,978.50 : 137,676.50 = 137,676.50 : x
2. Step 2: Convert to fraction form
   63,978.50/137,676.50 = 137,676.50/x
3. Step 3: Cross multiply
   63,978.50x = 137,676.50 × 137,676.50
4. Step 4: Simplify right side
   63,978.50x = 18,954,818,652.25
5. Step 5: Solve for x
   x = 18,954,818,652.25/63,978.50
6. Step 6: Final answer
   x = 296,268.57