Finding the Third Proportional to 79,832 and 119,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,832 : 119,759.50 = 119,759.50 : x
2. Step 2: Convert to fraction form
   79,832/119,759.50 = 119,759.50/x
3. Step 3: Cross multiply
   79,832x = 119,759.50 × 119,759.50
4. Step 4: Simplify right side
   79,832x = 14,342,337,840.25
5. Step 5: Solve for x
   x = 14,342,337,840.25/79,832
6. Step 6: Final answer
   x = 179,656.50