Finding the Third Proportional to 105,478 and 158,665

Step by Step Solution

1. Step 1: Write the proportion equation
   105,478 : 158,665 = 158,665 : x
2. Step 2: Convert to fraction form
   105,478/158,665 = 158,665/x
3. Step 3: Cross multiply
   105,478x = 158,665 × 158,665
4. Step 4: Simplify right side
   105,478x = 25,174,582,225
5. Step 5: Solve for x
   x = 25,174,582,225/105,478
6. Step 6: Final answer
   x = 238,671.40