Finding the Third Proportional to 35,879 and 78,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,879 : 78,315.50 = 78,315.50 : x
2. Step 2: Convert to fraction form
   35,879/78,315.50 = 78,315.50/x
3. Step 3: Cross multiply
   35,879x = 78,315.50 × 78,315.50
4. Step 4: Simplify right side
   35,879x = 6,133,317,540.25
5. Step 5: Solve for x
   x = 6,133,317,540.25/35,879
6. Step 6: Final answer
   x = 170,944.50