Finding the Third Proportional to 105,194 and 154,271

Step by Step Solution

1. Step 1: Write the proportion equation
   105,194 : 154,271 = 154,271 : x
2. Step 2: Convert to fraction form
   105,194/154,271 = 154,271/x
3. Step 3: Cross multiply
   105,194x = 154,271 × 154,271
4. Step 4: Simplify right side
   105,194x = 23,799,541,441
5. Step 5: Solve for x
   x = 23,799,541,441/105,194
6. Step 6: Final answer
   x = 226,244.29