Finding the Third Proportional to 54,537.50 and 114,016

Step by Step Solution

1. Step 1: Write the proportion equation
   54,537.50 : 114,016 = 114,016 : x
2. Step 2: Convert to fraction form
   54,537.50/114,016 = 114,016/x
3. Step 3: Cross multiply
   54,537.50x = 114,016 × 114,016
4. Step 4: Simplify right side
   54,537.50x = 12,999,648,256
5. Step 5: Solve for x
   x = 12,999,648,256/54,537.50
6. Step 6: Final answer
   x = 238,361.65