Finding the Third Proportional to 54,686 and 115,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,686 : 115,872.50 = 115,872.50 : x
2. Step 2: Convert to fraction form
   54,686/115,872.50 = 115,872.50/x
3. Step 3: Cross multiply
   54,686x = 115,872.50 × 115,872.50
4. Step 4: Simplify right side
   54,686x = 13,426,436,256.25
5. Step 5: Solve for x
   x = 13,426,436,256.25/54,686
6. Step 6: Final answer
   x = 245,518.71