Finding the Third Proportional to 106,185.50 and 160,638

Step by Step Solution

1. Step 1: Write the proportion equation
   106,185.50 : 160,638 = 160,638 : x
2. Step 2: Convert to fraction form
   106,185.50/160,638 = 160,638/x
3. Step 3: Cross multiply
   106,185.50x = 160,638 × 160,638
4. Step 4: Simplify right side
   106,185.50x = 25,804,567,044
5. Step 5: Solve for x
   x = 25,804,567,044/106,185.50
6. Step 6: Final answer
   x = 243,014.04