Finding the Third Proportional to 121,878 and 194,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   121,878 : 194,622.75 = 194,622.75 : x
2. Step 2: Convert to fraction form
   121,878/194,622.75 = 194,622.75/x
3. Step 3: Cross multiply
   121,878x = 194,622.75 × 194,622.75
4. Step 4: Simplify right side
   121,878x = 37,878,014,817.56
5. Step 5: Solve for x
   x = 37,878,014,817.56/121,878
6. Step 6: Final answer
   x = 310,786.32