Finding the Third Proportional to 83,388 and 196,724

Step by Step Solution

1. Step 1: Write the proportion equation
   83,388 : 196,724 = 196,724 : x
2. Step 2: Convert to fraction form
   83,388/196,724 = 196,724/x
3. Step 3: Cross multiply
   83,388x = 196,724 × 196,724
4. Step 4: Simplify right side
   83,388x = 38,700,332,176
5. Step 5: Solve for x
   x = 38,700,332,176/83,388
6. Step 6: Final answer
   x = 464,099.54