Finding the Third Proportional to 101.81 and 222.47

Step by Step Solution

1. Step 1: Write the proportion equation
   101.81 : 222.47 = 222.47 : x
2. Step 2: Convert to fraction form
   101.81/222.47 = 222.47/x
3. Step 3: Cross multiply
   101.81x = 222.47 × 222.47
4. Step 4: Simplify right side
   101.81x = 49,492.34
5. Step 5: Solve for x
   x = 49,492.34/101.81
6. Step 6: Final answer
   x = 486.11