Finding the Third Proportional to 91,790 and 194,590

Step by Step Solution

1. Step 1: Write the proportion equation
   91,790 : 194,590 = 194,590 : x
2. Step 2: Convert to fraction form
   91,790/194,590 = 194,590/x
3. Step 3: Cross multiply
   91,790x = 194,590 × 194,590
4. Step 4: Simplify right side
   91,790x = 37,865,268,100
5. Step 5: Solve for x
   x = 37,865,268,100/91,790
6. Step 6: Final answer
   x = 412,520.62