Finding the Third Proportional to 72,826 and 158,108

Step by Step Solution

1. Step 1: Write the proportion equation
   72,826 : 158,108 = 158,108 : x
2. Step 2: Convert to fraction form
   72,826/158,108 = 158,108/x
3. Step 3: Cross multiply
   72,826x = 158,108 × 158,108
4. Step 4: Simplify right side
   72,826x = 24,998,139,664
5. Step 5: Solve for x
   x = 24,998,139,664/72,826
6. Step 6: Final answer
   x = 343,258.45