Finding the Third Proportional to 154,816 and 231,648

Step by Step Solution

1. Step 1: Write the proportion equation
   154,816 : 231,648 = 231,648 : x
2. Step 2: Convert to fraction form
   154,816/231,648 = 231,648/x
3. Step 3: Cross multiply
   154,816x = 231,648 × 231,648
4. Step 4: Simplify right side
   154,816x = 53,660,795,904
5. Step 5: Solve for x
   x = 53,660,795,904/154,816
6. Step 6: Final answer
   x = 346,610.14