Finding the Third Proportional to 54,314 and 113,819

Step by Step Solution

1. Step 1: Write the proportion equation
   54,314 : 113,819 = 113,819 : x
2. Step 2: Convert to fraction form
   54,314/113,819 = 113,819/x
3. Step 3: Cross multiply
   54,314x = 113,819 × 113,819
4. Step 4: Simplify right side
   54,314x = 12,954,764,761
5. Step 5: Solve for x
   x = 12,954,764,761/54,314
6. Step 6: Final answer
   x = 238,516.12