Finding the Third Proportional to 51,224 and 111,316

Step by Step Solution

1. Step 1: Write the proportion equation
   51,224 : 111,316 = 111,316 : x
2. Step 2: Convert to fraction form
   51,224/111,316 = 111,316/x
3. Step 3: Cross multiply
   51,224x = 111,316 × 111,316
4. Step 4: Simplify right side
   51,224x = 12,391,251,856
5. Step 5: Solve for x
   x = 12,391,251,856/51,224
6. Step 6: Final answer
   x = 241,903.25