Finding the Third Proportional to 121,788 and 191,096

Step by Step Solution

1. Step 1: Write the proportion equation
   121,788 : 191,096 = 191,096 : x
2. Step 2: Convert to fraction form
   121,788/191,096 = 191,096/x
3. Step 3: Cross multiply
   121,788x = 191,096 × 191,096
4. Step 4: Simplify right side
   121,788x = 36,517,681,216
5. Step 5: Solve for x
   x = 36,517,681,216/121,788
6. Step 6: Final answer
   x = 299,846.30