Finding the Third Proportional to 137.76 and 182.61

Step by Step Solution

1. Step 1: Write the proportion equation
   137.76 : 182.61 = 182.61 : x
2. Step 2: Convert to fraction form
   137.76/182.61 = 182.61/x
3. Step 3: Cross multiply
   137.76x = 182.61 × 182.61
4. Step 4: Simplify right side
   137.76x = 33,344.94
5. Step 5: Solve for x
   x = 33,344.94/137.76
6. Step 6: Final answer
   x = 242.06