Finding the Third Proportional to 184.78 and 380.53

Step by Step Solution

1. Step 1: Write the proportion equation
   184.78 : 380.53 = 380.53 : x
2. Step 2: Convert to fraction form
   184.78/380.53 = 380.53/x
3. Step 3: Cross multiply
   184.78x = 380.53 × 380.53
4. Step 4: Simplify right side
   184.78x = 144,804.03
5. Step 5: Solve for x
   x = 144,804.03/184.78
6. Step 6: Final answer
   x = 783.65