Finding the Third Proportional to 54,814 and 113,516

Step by Step Solution

1. Step 1: Write the proportion equation
   54,814 : 113,516 = 113,516 : x
2. Step 2: Convert to fraction form
   54,814/113,516 = 113,516/x
3. Step 3: Cross multiply
   54,814x = 113,516 × 113,516
4. Step 4: Simplify right side
   54,814x = 12,885,882,256
5. Step 5: Solve for x
   x = 12,885,882,256/54,814
6. Step 6: Final answer
   x = 235,083.78