Finding the Third Proportional to 54,311.50 and 113,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,311.50 : 113,814.50 = 113,814.50 : x
2. Step 2: Convert to fraction form
   54,311.50/113,814.50 = 113,814.50/x
3. Step 3: Cross multiply
   54,311.50x = 113,814.50 × 113,814.50
4. Step 4: Simplify right side
   54,311.50x = 12,953,740,410.25
5. Step 5: Solve for x
   x = 12,953,740,410.25/54,311.50
6. Step 6: Final answer
   x = 238,508.24