Finding the Third Proportional to 73,822 and 173,309

Step by Step Solution

1. Step 1: Write the proportion equation
   73,822 : 173,309 = 173,309 : x
2. Step 2: Convert to fraction form
   73,822/173,309 = 173,309/x
3. Step 3: Cross multiply
   73,822x = 173,309 × 173,309
4. Step 4: Simplify right side
   73,822x = 30,036,009,481
5. Step 5: Solve for x
   x = 30,036,009,481/73,822
6. Step 6: Final answer
   x = 406,870.71