Finding the Third Proportional to 195,327.50 and 414,636

Step by Step Solution

1. Step 1: Write the proportion equation
   195,327.50 : 414,636 = 414,636 : x
2. Step 2: Convert to fraction form
   195,327.50/414,636 = 414,636/x
3. Step 3: Cross multiply
   195,327.50x = 414,636 × 414,636
4. Step 4: Simplify right side
   195,327.50x = 171,923,012,496
5. Step 5: Solve for x
   x = 171,923,012,496/195,327.50
6. Step 6: Final answer
   x = 880,178.23