Finding the Third Proportional to 73,820 and 173,304

Step by Step Solution

1. Step 1: Write the proportion equation
   73,820 : 173,304 = 173,304 : x
2. Step 2: Convert to fraction form
   73,820/173,304 = 173,304/x
3. Step 3: Cross multiply
   73,820x = 173,304 × 173,304
4. Step 4: Simplify right side
   73,820x = 30,034,276,416
5. Step 5: Solve for x
   x = 30,034,276,416/73,820
6. Step 6: Final answer
   x = 406,858.26