Finding the Third Proportional to 194,640 and 418,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,640 : 418,378.50 = 418,378.50 : x
2. Step 2: Convert to fraction form
   194,640/418,378.50 = 418,378.50/x
3. Step 3: Cross multiply
   194,640x = 418,378.50 × 418,378.50
4. Step 4: Simplify right side
   194,640x = 175,040,569,262.25
5. Step 5: Solve for x
   x = 175,040,569,262.25/194,640
6. Step 6: Final answer
   x = 899,304.20