Finding the Third Proportional to 143,640 and 228,096

Step by Step Solution

1. Step 1: Write the proportion equation
   143,640 : 228,096 = 228,096 : x
2. Step 2: Convert to fraction form
   143,640/228,096 = 228,096/x
3. Step 3: Cross multiply
   143,640x = 228,096 × 228,096
4. Step 4: Simplify right side
   143,640x = 52,027,785,216
5. Step 5: Solve for x
   x = 52,027,785,216/143,640
6. Step 6: Final answer
   x = 362,209.59