Finding the Third Proportional to 46.83 and 102.07

Step by Step Solution

1. Step 1: Write the proportion equation
   46.83 : 102.07 = 102.07 : x
2. Step 2: Convert to fraction form
   46.83/102.07 = 102.07/x
3. Step 3: Cross multiply
   46.83x = 102.07 × 102.07
4. Step 4: Simplify right side
   46.83x = 10,417.75
5. Step 5: Solve for x
   x = 10,417.75/46.83
6. Step 6: Final answer
   x = 222.47