Finding the Third Proportional to 72,728 and 152,077

Step by Step Solution

1. Step 1: Write the proportion equation
   72,728 : 152,077 = 152,077 : x
2. Step 2: Convert to fraction form
   72,728/152,077 = 152,077/x
3. Step 3: Cross multiply
   72,728x = 152,077 × 152,077
4. Step 4: Simplify right side
   72,728x = 23,127,413,929
5. Step 5: Solve for x
   x = 23,127,413,929/72,728
6. Step 6: Final answer
   x = 317,998.76