Finding the Third Proportional to 51,818 and 111,184

Step by Step Solution

1. Step 1: Write the proportion equation
   51,818 : 111,184 = 111,184 : x
2. Step 2: Convert to fraction form
   51,818/111,184 = 111,184/x
3. Step 3: Cross multiply
   51,818x = 111,184 × 111,184
4. Step 4: Simplify right side
   51,818x = 12,361,881,856
5. Step 5: Solve for x
   x = 12,361,881,856/51,818
6. Step 6: Final answer
   x = 238,563.47