Finding the Third Proportional to 83,168 and 158,674

Step by Step Solution

1. Step 1: Write the proportion equation
   83,168 : 158,674 = 158,674 : x
2. Step 2: Convert to fraction form
   83,168/158,674 = 158,674/x
3. Step 3: Cross multiply
   83,168x = 158,674 × 158,674
4. Step 4: Simplify right side
   83,168x = 25,177,438,276
5. Step 5: Solve for x
   x = 25,177,438,276/83,168
6. Step 6: Final answer
   x = 302,729.88