Finding the Third Proportional to 91,628 and 194,488

Step by Step Solution

1. Step 1: Write the proportion equation
   91,628 : 194,488 = 194,488 : x
2. Step 2: Convert to fraction form
   91,628/194,488 = 194,488/x
3. Step 3: Cross multiply
   91,628x = 194,488 × 194,488
4. Step 4: Simplify right side
   91,628x = 37,825,582,144
5. Step 5: Solve for x
   x = 37,825,582,144/91,628
6. Step 6: Final answer
   x = 412,816.85