Finding the Third Proportional to 111,340 and 196,228

Step by Step Solution

1. Step 1: Write the proportion equation
   111,340 : 196,228 = 196,228 : x
2. Step 2: Convert to fraction form
   111,340/196,228 = 196,228/x
3. Step 3: Cross multiply
   111,340x = 196,228 × 196,228
4. Step 4: Simplify right side
   111,340x = 38,505,427,984
5. Step 5: Solve for x
   x = 38,505,427,984/111,340
6. Step 6: Final answer
   x = 345,836.43