Finding the Third Proportional to 105,059 and 160,019

Step by Step Solution

1. Step 1: Write the proportion equation
   105,059 : 160,019 = 160,019 : x
2. Step 2: Convert to fraction form
   105,059/160,019 = 160,019/x
3. Step 3: Cross multiply
   105,059x = 160,019 × 160,019
4. Step 4: Simplify right side
   105,059x = 25,606,080,361
5. Step 5: Solve for x
   x = 25,606,080,361/105,059
6. Step 6: Final answer
   x = 243,730.48