Finding the Third Proportional to 70,824 and 154,716

Step by Step Solution

1. Step 1: Write the proportion equation
   70,824 : 154,716 = 154,716 : x
2. Step 2: Convert to fraction form
   70,824/154,716 = 154,716/x
3. Step 3: Cross multiply
   70,824x = 154,716 × 154,716
4. Step 4: Simplify right side
   70,824x = 23,937,040,656
5. Step 5: Solve for x
   x = 23,937,040,656/70,824
6. Step 6: Final answer
   x = 337,979.23