Finding the Third Proportional to 121,800 and 191,116

Step by Step Solution

1. Step 1: Write the proportion equation
   121,800 : 191,116 = 191,116 : x
2. Step 2: Convert to fraction form
   121,800/191,116 = 191,116/x
3. Step 3: Cross multiply
   121,800x = 191,116 × 191,116
4. Step 4: Simplify right side
   121,800x = 36,525,325,456
5. Step 5: Solve for x
   x = 36,525,325,456/121,800
6. Step 6: Final answer
   x = 299,879.52