Finding the Third Proportional to 181,707 and 278,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,707 : 278,908.50 = 278,908.50 : x
2. Step 2: Convert to fraction form
   181,707/278,908.50 = 278,908.50/x
3. Step 3: Cross multiply
   181,707x = 278,908.50 × 278,908.50
4. Step 4: Simplify right side
   181,707x = 77,789,951,372.25
5. Step 5: Solve for x
   x = 77,789,951,372.25/181,707
6. Step 6: Final answer
   x = 428,106.52