Finding the Third Proportional to 105,967 and 160,030

Step by Step Solution

1. Step 1: Write the proportion equation
   105,967 : 160,030 = 160,030 : x
2. Step 2: Convert to fraction form
   105,967/160,030 = 160,030/x
3. Step 3: Cross multiply
   105,967x = 160,030 × 160,030
4. Step 4: Simplify right side
   105,967x = 25,609,600,900
5. Step 5: Solve for x
   x = 25,609,600,900/105,967
6. Step 6: Final answer
   x = 241,675.25