Finding the Third Proportional to 105,196 and 154,274

Step by Step Solution

1. Step 1: Write the proportion equation
   105,196 : 154,274 = 154,274 : x
2. Step 2: Convert to fraction form
   105,196/154,274 = 154,274/x
3. Step 3: Cross multiply
   105,196x = 154,274 × 154,274
4. Step 4: Simplify right side
   105,196x = 23,800,467,076
5. Step 5: Solve for x
   x = 23,800,467,076/105,196
6. Step 6: Final answer
   x = 226,248.78