Finding the Third Proportional to 91,802 and 194,628

Step by Step Solution

1. Step 1: Write the proportion equation
   91,802 : 194,628 = 194,628 : x
2. Step 2: Convert to fraction form
   91,802/194,628 = 194,628/x
3. Step 3: Cross multiply
   91,802x = 194,628 × 194,628
4. Step 4: Simplify right side
   91,802x = 37,880,058,384
5. Step 5: Solve for x
   x = 37,880,058,384/91,802
6. Step 6: Final answer
   x = 412,627.81