Finding the Third Proportional to 77,408 and 158,096

Step by Step Solution

1. Step 1: Write the proportion equation
   77,408 : 158,096 = 158,096 : x
2. Step 2: Convert to fraction form
   77,408/158,096 = 158,096/x
3. Step 3: Cross multiply
   77,408x = 158,096 × 158,096
4. Step 4: Simplify right side
   77,408x = 24,994,345,216
5. Step 5: Solve for x
   x = 24,994,345,216/77,408
6. Step 6: Final answer
   x = 322,890.98