Finding the Third Proportional to 63,168 and 138,222

Step by Step Solution

1. Step 1: Write the proportion equation
   63,168 : 138,222 = 138,222 : x
2. Step 2: Convert to fraction form
   63,168/138,222 = 138,222/x
3. Step 3: Cross multiply
   63,168x = 138,222 × 138,222
4. Step 4: Simplify right side
   63,168x = 19,105,321,284
5. Step 5: Solve for x
   x = 19,105,321,284/63,168
6. Step 6: Final answer
   x = 302,452.53