Finding the Third Proportional to 184.13 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   184.13 : 498.56 = 498.56 : x
2. Step 2: Convert to fraction form
   184.13/498.56 = 498.56/x
3. Step 3: Cross multiply
   184.13x = 498.56 × 498.56
4. Step 4: Simplify right side
   184.13x = 248,564.57
5. Step 5: Solve for x
   x = 248,564.57/184.13
6. Step 6: Final answer
   x = 1,349.98