Finding the Third Proportional to 190,567 and 280,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   190,567 : 280,141.50 = 280,141.50 : x
2. Step 2: Convert to fraction form
   190,567/280,141.50 = 280,141.50/x
3. Step 3: Cross multiply
   190,567x = 280,141.50 × 280,141.50
4. Step 4: Simplify right side
   190,567x = 78,479,260,022.25
5. Step 5: Solve for x
   x = 78,479,260,022.25/190,567
6. Step 6: Final answer
   x = 411,819.78