Finding the Third Proportional to 230,400 and 360,648

Step by Step Solution

1. Step 1: Write the proportion equation
   230,400 : 360,648 = 360,648 : x
2. Step 2: Convert to fraction form
   230,400/360,648 = 360,648/x
3. Step 3: Cross multiply
   230,400x = 360,648 × 360,648
4. Step 4: Simplify right side
   230,400x = 130,066,979,904
5. Step 5: Solve for x
   x = 130,066,979,904/230,400
6. Step 6: Final answer
   x = 564,526.82