Finding the Third Proportional to 106,642.50 and 159,801

Step by Step Solution

1. Step 1: Write the proportion equation
   106,642.50 : 159,801 = 159,801 : x
2. Step 2: Convert to fraction form
   106,642.50/159,801 = 159,801/x
3. Step 3: Cross multiply
   106,642.50x = 159,801 × 159,801
4. Step 4: Simplify right side
   106,642.50x = 25,536,359,601
5. Step 5: Solve for x
   x = 25,536,359,601/106,642.50
6. Step 6: Final answer
   x = 239,457.62