Finding the Third Proportional to 105,389 and 160,710

Step by Step Solution

1. Step 1: Write the proportion equation
   105,389 : 160,710 = 160,710 : x
2. Step 2: Convert to fraction form
   105,389/160,710 = 160,710/x
3. Step 3: Cross multiply
   105,389x = 160,710 × 160,710
4. Step 4: Simplify right side
   105,389x = 25,827,704,100
5. Step 5: Solve for x
   x = 25,827,704,100/105,389
6. Step 6: Final answer
   x = 245,070.21