Finding the Third Proportional to 73,698 and 173,231

Step by Step Solution

1. Step 1: Write the proportion equation
   73,698 : 173,231 = 173,231 : x
2. Step 2: Convert to fraction form
   73,698/173,231 = 173,231/x
3. Step 3: Cross multiply
   73,698x = 173,231 × 173,231
4. Step 4: Simplify right side
   73,698x = 30,008,979,361
5. Step 5: Solve for x
   x = 30,008,979,361/73,698
6. Step 6: Final answer
   x = 407,188.52