Finding the Third Proportional to 148,896 and 230,256

Step by Step Solution

1. Step 1: Write the proportion equation
   148,896 : 230,256 = 230,256 : x
2. Step 2: Convert to fraction form
   148,896/230,256 = 230,256/x
3. Step 3: Cross multiply
   148,896x = 230,256 × 230,256
4. Step 4: Simplify right side
   148,896x = 53,017,825,536
5. Step 5: Solve for x
   x = 53,017,825,536/148,896
6. Step 6: Final answer
   x = 356,072.87