Finding the Third Proportional to 154,880 and 227,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,880 : 227,783.50 = 227,783.50 : x
2. Step 2: Convert to fraction form
   154,880/227,783.50 = 227,783.50/x
3. Step 3: Cross multiply
   154,880x = 227,783.50 × 227,783.50
4. Step 4: Simplify right side
   154,880x = 51,885,322,872.25
5. Step 5: Solve for x
   x = 51,885,322,872.25/154,880
6. Step 6: Final answer
   x = 335,003.38