Finding the Third Proportional to 139,778 and 186,224

Step by Step Solution

1. Step 1: Write the proportion equation
   139,778 : 186,224 = 186,224 : x
2. Step 2: Convert to fraction form
   139,778/186,224 = 186,224/x
3. Step 3: Cross multiply
   139,778x = 186,224 × 186,224
4. Step 4: Simplify right side
   139,778x = 34,679,378,176
5. Step 5: Solve for x
   x = 34,679,378,176/139,778
6. Step 6: Final answer
   x = 248,103.27