Finding the Third Proportional to 91,204 and 196,036

Step by Step Solution

1. Step 1: Write the proportion equation
   91,204 : 196,036 = 196,036 : x
2. Step 2: Convert to fraction form
   91,204/196,036 = 196,036/x
3. Step 3: Cross multiply
   91,204x = 196,036 × 196,036
4. Step 4: Simplify right side
   91,204x = 38,430,113,296
5. Step 5: Solve for x
   x = 38,430,113,296/91,204
6. Step 6: Final answer
   x = 421,364.34