Finding the Third Proportional to 83,156 and 158,656

Step by Step Solution

1. Step 1: Write the proportion equation
   83,156 : 158,656 = 158,656 : x
2. Step 2: Convert to fraction form
   83,156/158,656 = 158,656/x
3. Step 3: Cross multiply
   83,156x = 158,656 × 158,656
4. Step 4: Simplify right side
   83,156x = 25,171,726,336
5. Step 5: Solve for x
   x = 25,171,726,336/83,156
6. Step 6: Final answer
   x = 302,704.87