Finding the Third Proportional to 55,228 and 118,196

Step by Step Solution

1. Step 1: Write the proportion equation
   55,228 : 118,196 = 118,196 : x
2. Step 2: Convert to fraction form
   55,228/118,196 = 118,196/x
3. Step 3: Cross multiply
   55,228x = 118,196 × 118,196
4. Step 4: Simplify right side
   55,228x = 13,970,294,416
5. Step 5: Solve for x
   x = 13,970,294,416/55,228
6. Step 6: Final answer
   x = 252,956.73