Finding the Third Proportional to 182.61 and 374.82

Step by Step Solution

1. Step 1: Write the proportion equation
   182.61 : 374.82 = 374.82 : x
2. Step 2: Convert to fraction form
   182.61/374.82 = 374.82/x
3. Step 3: Cross multiply
   182.61x = 374.82 × 374.82
4. Step 4: Simplify right side
   182.61x = 140,492.10
5. Step 5: Solve for x
   x = 140,492.10/182.61
6. Step 6: Final answer
   x = 769.37