Finding the Third Proportional to 90,435 and 196,437

Step by Step Solution

1. Step 1: Write the proportion equation
   90,435 : 196,437 = 196,437 : x
2. Step 2: Convert to fraction form
   90,435/196,437 = 196,437/x
3. Step 3: Cross multiply
   90,435x = 196,437 × 196,437
4. Step 4: Simplify right side
   90,435x = 38,587,494,969
5. Step 5: Solve for x
   x = 38,587,494,969/90,435
6. Step 6: Final answer
   x = 426,687.62