Finding the Third Proportional to 190,814 and 280,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,814 : 280,386.50 = 280,386.50 : x
2. Step 2: Convert to fraction form
   190,814/280,386.50 = 280,386.50/x
3. Step 3: Cross multiply
   190,814x = 280,386.50 × 280,386.50
4. Step 4: Simplify right side
   190,814x = 78,616,589,382.25
5. Step 5: Solve for x
   x = 78,616,589,382.25/190,814
6. Step 6: Final answer
   x = 412,006.40