Finding the Third Proportional to 91,206 and 196,040

Step by Step Solution

1. Step 1: Write the proportion equation
   91,206 : 196,040 = 196,040 : x
2. Step 2: Convert to fraction form
   91,206/196,040 = 196,040/x
3. Step 3: Cross multiply
   91,206x = 196,040 × 196,040
4. Step 4: Simplify right side
   91,206x = 38,431,681,600
5. Step 5: Solve for x
   x = 38,431,681,600/91,206
6. Step 6: Final answer
   x = 421,372.30