Finding the Third Proportional to 53,186 and 111,876

Step by Step Solution

1. Step 1: Write the proportion equation
   53,186 : 111,876 = 111,876 : x
2. Step 2: Convert to fraction form
   53,186/111,876 = 111,876/x
3. Step 3: Cross multiply
   53,186x = 111,876 × 111,876
4. Step 4: Simplify right side
   53,186x = 12,516,239,376
5. Step 5: Solve for x
   x = 12,516,239,376/53,186
6. Step 6: Final answer
   x = 235,329.59