Finding the Third Proportional to 121,578 and 195,340.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,578 : 195,340.50 = 195,340.50 : x
2. Step 2: Convert to fraction form
   121,578/195,340.50 = 195,340.50/x
3. Step 3: Cross multiply
   121,578x = 195,340.50 × 195,340.50
4. Step 4: Simplify right side
   121,578x = 38,157,910,940.25
5. Step 5: Solve for x
   x = 38,157,910,940.25/121,578
6. Step 6: Final answer
   x = 313,855.39