Finding the Third Proportional to 101,084 and 158,564

Step by Step Solution

1. Step 1: Write the proportion equation
   101,084 : 158,564 = 158,564 : x
2. Step 2: Convert to fraction form
   101,084/158,564 = 158,564/x
3. Step 3: Cross multiply
   101,084x = 158,564 × 158,564
4. Step 4: Simplify right side
   101,084x = 25,142,542,096
5. Step 5: Solve for x
   x = 25,142,542,096/101,084
6. Step 6: Final answer
   x = 248,729.20