Finding the Third Proportional to 91,208 and 196,044

Step by Step Solution

1. Step 1: Write the proportion equation
   91,208 : 196,044 = 196,044 : x
2. Step 2: Convert to fraction form
   91,208/196,044 = 196,044/x
3. Step 3: Cross multiply
   91,208x = 196,044 × 196,044
4. Step 4: Simplify right side
   91,208x = 38,433,249,936
5. Step 5: Solve for x
   x = 38,433,249,936/91,208
6. Step 6: Final answer
   x = 421,380.25