Finding the Third Proportional to 91,666 and 192,558

Step by Step Solution

1. Step 1: Write the proportion equation
   91,666 : 192,558 = 192,558 : x
2. Step 2: Convert to fraction form
   91,666/192,558 = 192,558/x
3. Step 3: Cross multiply
   91,666x = 192,558 × 192,558
4. Step 4: Simplify right side
   91,666x = 37,078,583,364
5. Step 5: Solve for x
   x = 37,078,583,364/91,666
6. Step 6: Final answer
   x = 404,496.58