Finding the Third Proportional to 73,836 and 173,346

Step by Step Solution

1. Step 1: Write the proportion equation
   73,836 : 173,346 = 173,346 : x
2. Step 2: Convert to fraction form
   73,836/173,346 = 173,346/x
3. Step 3: Cross multiply
   73,836x = 173,346 × 173,346
4. Step 4: Simplify right side
   73,836x = 30,048,835,716
5. Step 5: Solve for x
   x = 30,048,835,716/73,836
6. Step 6: Final answer
   x = 406,967.27