Finding the Third Proportional to 91,008 and 196,064

Step by Step Solution

1. Step 1: Write the proportion equation
   91,008 : 196,064 = 196,064 : x
2. Step 2: Convert to fraction form
   91,008/196,064 = 196,064/x
3. Step 3: Cross multiply
   91,008x = 196,064 × 196,064
4. Step 4: Simplify right side
   91,008x = 38,441,092,096
5. Step 5: Solve for x
   x = 38,441,092,096/91,008
6. Step 6: Final answer
   x = 422,392.45