Finding the Third Proportional to 51,228 and 110,196

Step by Step Solution

1. Step 1: Write the proportion equation
   51,228 : 110,196 = 110,196 : x
2. Step 2: Convert to fraction form
   51,228/110,196 = 110,196/x
3. Step 3: Cross multiply
   51,228x = 110,196 × 110,196
4. Step 4: Simplify right side
   51,228x = 12,143,158,416
5. Step 5: Solve for x
   x = 12,143,158,416/51,228
6. Step 6: Final answer
   x = 237,041.43