Finding the Third Proportional to 105,429 and 154,189

Step by Step Solution

1. Step 1: Write the proportion equation
   105,429 : 154,189 = 154,189 : x
2. Step 2: Convert to fraction form
   105,429/154,189 = 154,189/x
3. Step 3: Cross multiply
   105,429x = 154,189 × 154,189
4. Step 4: Simplify right side
   105,429x = 23,774,247,721
5. Step 5: Solve for x
   x = 23,774,247,721/105,429
6. Step 6: Final answer
   x = 225,500.08