Finding the Third Proportional to 102,847 and 158,932

Step by Step Solution

1. Step 1: Write the proportion equation
   102,847 : 158,932 = 158,932 : x
2. Step 2: Convert to fraction form
   102,847/158,932 = 158,932/x
3. Step 3: Cross multiply
   102,847x = 158,932 × 158,932
4. Step 4: Simplify right side
   102,847x = 25,259,380,624
5. Step 5: Solve for x
   x = 25,259,380,624/102,847
6. Step 6: Final answer
   x = 245,601.53