Finding the Third Proportional to 111,336 and 196,222

Step by Step Solution

1. Step 1: Write the proportion equation
   111,336 : 196,222 = 196,222 : x
2. Step 2: Convert to fraction form
   111,336/196,222 = 196,222/x
3. Step 3: Cross multiply
   111,336x = 196,222 × 196,222
4. Step 4: Simplify right side
   111,336x = 38,503,073,284
5. Step 5: Solve for x
   x = 38,503,073,284/111,336
6. Step 6: Final answer
   x = 345,827.70