Finding the Third Proportional to 91,274 and 196,041

Step by Step Solution

1. Step 1: Write the proportion equation
   91,274 : 196,041 = 196,041 : x
2. Step 2: Convert to fraction form
   91,274/196,041 = 196,041/x
3. Step 3: Cross multiply
   91,274x = 196,041 × 196,041
4. Step 4: Simplify right side
   91,274x = 38,432,073,681
5. Step 5: Solve for x
   x = 38,432,073,681/91,274
6. Step 6: Final answer
   x = 421,062.66