Finding the Third Proportional to 105,380.16 and 160,709.91

Step by Step Solution

1. Step 1: Write the proportion equation
   105,380.16 : 160,709.91 = 160,709.91 : x
2. Step 2: Convert to fraction form
   105,380.16/160,709.91 = 160,709.91/x
3. Step 3: Cross multiply
   105,380.16x = 160,709.91 × 160,709.91
4. Step 4: Simplify right side
   105,380.16x = 25,827,673,966.88
5. Step 5: Solve for x
   x = 25,827,673,966.88/105,380.16
6. Step 6: Final answer
   x = 245,090.49