Finding the Third Proportional to 89,160 and 193,680

Step by Step Solution

1. Step 1: Write the proportion equation
   89,160 : 193,680 = 193,680 : x
2. Step 2: Convert to fraction form
   89,160/193,680 = 193,680/x
3. Step 3: Cross multiply
   89,160x = 193,680 × 193,680
4. Step 4: Simplify right side
   89,160x = 37,511,942,400
5. Step 5: Solve for x
   x = 37,511,942,400/89,160
6. Step 6: Final answer
   x = 420,726.14