Finding the Third Proportional to 64,408.50 and 137,377.69

Step by Step Solution

1. Step 1: Write the proportion equation
   64,408.50 : 137,377.69 = 137,377.69 : x
2. Step 2: Convert to fraction form
   64,408.50/137,377.69 = 137,377.69/x
3. Step 3: Cross multiply
   64,408.50x = 137,377.69 × 137,377.69
4. Step 4: Simplify right side
   64,408.50x = 18,872,629,022.85
5. Step 5: Solve for x
   x = 18,872,629,022.85/64,408.50
6. Step 6: Final answer
   x = 293,014.57