Finding the Third Proportional to 101,760 and 158,160

Step by Step Solution

1. Step 1: Write the proportion equation
   101,760 : 158,160 = 158,160 : x
2. Step 2: Convert to fraction form
   101,760/158,160 = 158,160/x
3. Step 3: Cross multiply
   101,760x = 158,160 × 158,160
4. Step 4: Simplify right side
   101,760x = 25,014,585,600
5. Step 5: Solve for x
   x = 25,014,585,600/101,760
6. Step 6: Final answer
   x = 245,819.43