Finding the Third Proportional to 54,311 and 116,215

Step by Step Solution

1. Step 1: Write the proportion equation
   54,311 : 116,215 = 116,215 : x
2. Step 2: Convert to fraction form
   54,311/116,215 = 116,215/x
3. Step 3: Cross multiply
   54,311x = 116,215 × 116,215
4. Step 4: Simplify right side
   54,311x = 13,505,926,225
5. Step 5: Solve for x
   x = 13,505,926,225/54,311
6. Step 6: Final answer
   x = 248,677.55