Finding the Third Proportional to 72,180 and 173,888

Step by Step Solution

1. Step 1: Write the proportion equation
   72,180 : 173,888 = 173,888 : x
2. Step 2: Convert to fraction form
   72,180/173,888 = 173,888/x
3. Step 3: Cross multiply
   72,180x = 173,888 × 173,888
4. Step 4: Simplify right side
   72,180x = 30,237,036,544
5. Step 5: Solve for x
   x = 30,237,036,544/72,180
6. Step 6: Final answer
   x = 418,911.56