Finding the Third Proportional to 106,724 and 159,870

Step by Step Solution

1. Step 1: Write the proportion equation
   106,724 : 159,870 = 159,870 : x
2. Step 2: Convert to fraction form
   106,724/159,870 = 159,870/x
3. Step 3: Cross multiply
   106,724x = 159,870 × 159,870
4. Step 4: Simplify right side
   106,724x = 25,558,416,900
5. Step 5: Solve for x
   x = 25,558,416,900/106,724
6. Step 6: Final answer
   x = 239,481.44