Finding the Third Proportional to 190,780 and 414,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,780 : 414,363.50 = 414,363.50 : x
2. Step 2: Convert to fraction form
   190,780/414,363.50 = 414,363.50/x
3. Step 3: Cross multiply
   190,780x = 414,363.50 × 414,363.50
4. Step 4: Simplify right side
   190,780x = 171,697,110,132.25
5. Step 5: Solve for x
   x = 171,697,110,132.25/190,780
6. Step 6: Final answer
   x = 899,974.37