Finding the Third Proportional to 105,424 and 154,409

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 154,409 = 154,409 : x
2. Step 2: Convert to fraction form
   105,424/154,409 = 154,409/x
3. Step 3: Cross multiply
   105,424x = 154,409 × 154,409
4. Step 4: Simplify right side
   105,424x = 23,842,139,281
5. Step 5: Solve for x
   x = 23,842,139,281/105,424
6. Step 6: Final answer
   x = 226,154.76