Finding the Third Proportional to 154,880 and 227,784

Step by Step Solution

1. Step 1: Write the proportion equation
   154,880 : 227,784 = 227,784 : x
2. Step 2: Convert to fraction form
   154,880/227,784 = 227,784/x
3. Step 3: Cross multiply
   154,880x = 227,784 × 227,784
4. Step 4: Simplify right side
   154,880x = 51,885,550,656
5. Step 5: Solve for x
   x = 51,885,550,656/154,880
6. Step 6: Final answer
   x = 335,004.85