Finding the Third Proportional to 91,824 and 194,667

Step by Step Solution

1. Step 1: Write the proportion equation
   91,824 : 194,667 = 194,667 : x
2. Step 2: Convert to fraction form
   91,824/194,667 = 194,667/x
3. Step 3: Cross multiply
   91,824x = 194,667 × 194,667
4. Step 4: Simplify right side
   91,824x = 37,895,240,889
5. Step 5: Solve for x
   x = 37,895,240,889/91,824
6. Step 6: Final answer
   x = 412,694.29