Finding the Third Proportional to 91,404 and 194,448

Step by Step Solution

1. Step 1: Write the proportion equation
   91,404 : 194,448 = 194,448 : x
2. Step 2: Convert to fraction form
   91,404/194,448 = 194,448/x
3. Step 3: Cross multiply
   91,404x = 194,448 × 194,448
4. Step 4: Simplify right side
   91,404x = 37,810,024,704
5. Step 5: Solve for x
   x = 37,810,024,704/91,404
6. Step 6: Final answer
   x = 413,658.32