Finding the Third Proportional to 194,944 and 418,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,944 : 418,896.50 = 418,896.50 : x
2. Step 2: Convert to fraction form
   194,944/418,896.50 = 418,896.50/x
3. Step 3: Cross multiply
   194,944x = 418,896.50 × 418,896.50
4. Step 4: Simplify right side
   194,944x = 175,474,277,712.25
5. Step 5: Solve for x
   x = 175,474,277,712.25/194,944
6. Step 6: Final answer
   x = 900,126.59