Finding the Third Proportional to 148,320 and 229,680

Step by Step Solution

1. Step 1: Write the proportion equation
   148,320 : 229,680 = 229,680 : x
2. Step 2: Convert to fraction form
   148,320/229,680 = 229,680/x
3. Step 3: Cross multiply
   148,320x = 229,680 × 229,680
4. Step 4: Simplify right side
   148,320x = 52,752,902,400
5. Step 5: Solve for x
   x = 52,752,902,400/148,320
6. Step 6: Final answer
   x = 355,669.51