Finding the Third Proportional to 51,802 and 111,156

Step by Step Solution

1. Step 1: Write the proportion equation
   51,802 : 111,156 = 111,156 : x
2. Step 2: Convert to fraction form
   51,802/111,156 = 111,156/x
3. Step 3: Cross multiply
   51,802x = 111,156 × 111,156
4. Step 4: Simplify right side
   51,802x = 12,355,656,336
5. Step 5: Solve for x
   x = 12,355,656,336/51,802
6. Step 6: Final answer
   x = 238,516.97