Finding the Third Proportional to 91,814 and 194,648

Step by Step Solution

1. Step 1: Write the proportion equation
   91,814 : 194,648 = 194,648 : x
2. Step 2: Convert to fraction form
   91,814/194,648 = 194,648/x
3. Step 3: Cross multiply
   91,814x = 194,648 × 194,648
4. Step 4: Simplify right side
   91,814x = 37,887,843,904
5. Step 5: Solve for x
   x = 37,887,843,904/91,814
6. Step 6: Final answer
   x = 412,658.68