Finding the Third Proportional to 95,724 and 196,224

Step by Step Solution

1. Step 1: Write the proportion equation
   95,724 : 196,224 = 196,224 : x
2. Step 2: Convert to fraction form
   95,724/196,224 = 196,224/x
3. Step 3: Cross multiply
   95,724x = 196,224 × 196,224
4. Step 4: Simplify right side
   95,724x = 38,503,858,176
5. Step 5: Solve for x
   x = 38,503,858,176/95,724
6. Step 6: Final answer
   x = 402,238.29