Finding the Third Proportional to 73,832 and 158,168

Step by Step Solution

1. Step 1: Write the proportion equation
   73,832 : 158,168 = 158,168 : x
2. Step 2: Convert to fraction form
   73,832/158,168 = 158,168/x
3. Step 3: Cross multiply
   73,832x = 158,168 × 158,168
4. Step 4: Simplify right side
   73,832x = 25,017,116,224
5. Step 5: Solve for x
   x = 25,017,116,224/73,832
6. Step 6: Final answer
   x = 338,838.39