Finding the Third Proportional to 51,196 and 110,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,196 : 110,715.50 = 110,715.50 : x
2. Step 2: Convert to fraction form
   51,196/110,715.50 = 110,715.50/x
3. Step 3: Cross multiply
   51,196x = 110,715.50 × 110,715.50
4. Step 4: Simplify right side
   51,196x = 12,257,921,940.25
5. Step 5: Solve for x
   x = 12,257,921,940.25/51,196
6. Step 6: Final answer
   x = 239,431.24