Finding the Third Proportional to 72.77 and 149.77

Step by Step Solution

1. Step 1: Write the proportion equation
   72.77 : 149.77 = 149.77 : x
2. Step 2: Convert to fraction form
   72.77/149.77 = 149.77/x
3. Step 3: Cross multiply
   72.77x = 149.77 × 149.77
4. Step 4: Simplify right side
   72.77x = 22,429.74
5. Step 5: Solve for x
   x = 22,429.74/72.77
6. Step 6: Final answer
   x = 308.21