Finding the Third Proportional to 102.08 and 222.52

Step by Step Solution

1. Step 1: Write the proportion equation
   102.08 : 222.52 = 222.52 : x
2. Step 2: Convert to fraction form
   102.08/222.52 = 222.52/x
3. Step 3: Cross multiply
   102.08x = 222.52 × 222.52
4. Step 4: Simplify right side
   102.08x = 49,513.20
5. Step 5: Solve for x
   x = 49,513.20/102.08
6. Step 6: Final answer
   x = 485.05