Finding the Third Proportional to 190,566 and 280,140

Step by Step Solution

1. Step 1: Write the proportion equation
   190,566 : 280,140 = 280,140 : x
2. Step 2: Convert to fraction form
   190,566/280,140 = 280,140/x
3. Step 3: Cross multiply
   190,566x = 280,140 × 280,140
4. Step 4: Simplify right side
   190,566x = 78,478,419,600
5. Step 5: Solve for x
   x = 78,478,419,600/190,566
6. Step 6: Final answer
   x = 411,817.53