Finding the Third Proportional to 194,570 and 414,250

Step by Step Solution

1. Step 1: Write the proportion equation
   194,570 : 414,250 = 414,250 : x
2. Step 2: Convert to fraction form
   194,570/414,250 = 414,250/x
3. Step 3: Cross multiply
   194,570x = 414,250 × 414,250
4. Step 4: Simplify right side
   194,570x = 171,603,062,500
5. Step 5: Solve for x
   x = 171,603,062,500/194,570
6. Step 6: Final answer
   x = 881,960.54