Finding the Third Proportional to 105,384 and 160,714

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 160,714 = 160,714 : x
2. Step 2: Convert to fraction form
   105,384/160,714 = 160,714/x
3. Step 3: Cross multiply
   105,384x = 160,714 × 160,714
4. Step 4: Simplify right side
   105,384x = 25,828,989,796
5. Step 5: Solve for x
   x = 25,828,989,796/105,384
6. Step 6: Final answer
   x = 245,094.04