Finding the Third Proportional to 91,226 and 200,434

Step by Step Solution

1. Step 1: Write the proportion equation
   91,226 : 200,434 = 200,434 : x
2. Step 2: Convert to fraction form
   91,226/200,434 = 200,434/x
3. Step 3: Cross multiply
   91,226x = 200,434 × 200,434
4. Step 4: Simplify right side
   91,226x = 40,173,788,356
5. Step 5: Solve for x
   x = 40,173,788,356/91,226
6. Step 6: Final answer
   x = 440,376.52