Finding the Third Proportional to 105,478 and 158,666

Step by Step Solution

1. Step 1: Write the proportion equation
   105,478 : 158,666 = 158,666 : x
2. Step 2: Convert to fraction form
   105,478/158,666 = 158,666/x
3. Step 3: Cross multiply
   105,478x = 158,666 × 158,666
4. Step 4: Simplify right side
   105,478x = 25,174,899,556
5. Step 5: Solve for x
   x = 25,174,899,556/105,478
6. Step 6: Final answer
   x = 238,674.41