Finding the Third Proportional to 144,912 and 194,994

Step by Step Solution

1. Step 1: Write the proportion equation
   144,912 : 194,994 = 194,994 : x
2. Step 2: Convert to fraction form
   144,912/194,994 = 194,994/x
3. Step 3: Cross multiply
   144,912x = 194,994 × 194,994
4. Step 4: Simplify right side
   144,912x = 38,022,660,036
5. Step 5: Solve for x
   x = 38,022,660,036/144,912
6. Step 6: Final answer
   x = 262,384.48