Finding the Third Proportional to 195,330 and 414,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   195,330 : 414,640.50 = 414,640.50 : x
2. Step 2: Convert to fraction form
   195,330/414,640.50 = 414,640.50/x
3. Step 3: Cross multiply
   195,330x = 414,640.50 × 414,640.50
4. Step 4: Simplify right side
   195,330x = 171,926,744,240.25
5. Step 5: Solve for x
   x = 171,926,744,240.25/195,330
6. Step 6: Final answer
   x = 880,186.07