Finding the Third Proportional to 91,314 and 199,238

Step by Step Solution

1. Step 1: Write the proportion equation
   91,314 : 199,238 = 199,238 : x
2. Step 2: Convert to fraction form
   91,314/199,238 = 199,238/x
3. Step 3: Cross multiply
   91,314x = 199,238 × 199,238
4. Step 4: Simplify right side
   91,314x = 39,695,780,644
5. Step 5: Solve for x
   x = 39,695,780,644/91,314
6. Step 6: Final answer
   x = 434,717.36