Finding the Third Proportional to 73,788 and 158,096

Step by Step Solution

1. Step 1: Write the proportion equation
   73,788 : 158,096 = 158,096 : x
2. Step 2: Convert to fraction form
   73,788/158,096 = 158,096/x
3. Step 3: Cross multiply
   73,788x = 158,096 × 158,096
4. Step 4: Simplify right side
   73,788x = 24,994,345,216
5. Step 5: Solve for x
   x = 24,994,345,216/73,788
6. Step 6: Final answer
   x = 338,731.84