Finding the Third Proportional to 77,794 and 158,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,794 : 158,441.50 = 158,441.50 : x
2. Step 2: Convert to fraction form
   77,794/158,441.50 = 158,441.50/x
3. Step 3: Cross multiply
   77,794x = 158,441.50 × 158,441.50
4. Step 4: Simplify right side
   77,794x = 25,103,708,922.25
5. Step 5: Solve for x
   x = 25,103,708,922.25/77,794
6. Step 6: Final answer
   x = 322,694.67