Finding the Third Proportional to 83,148 and 158,634

Step by Step Solution

1. Step 1: Write the proportion equation
   83,148 : 158,634 = 158,634 : x
2. Step 2: Convert to fraction form
   83,148/158,634 = 158,634/x
3. Step 3: Cross multiply
   83,148x = 158,634 × 158,634
4. Step 4: Simplify right side
   83,148x = 25,164,745,956
5. Step 5: Solve for x
   x = 25,164,745,956/83,148
6. Step 6: Final answer
   x = 302,650.05