Finding the Third Proportional to 186,942 and 280,650

Step by Step Solution

1. Step 1: Write the proportion equation
   186,942 : 280,650 = 280,650 : x
2. Step 2: Convert to fraction form
   186,942/280,650 = 280,650/x
3. Step 3: Cross multiply
   186,942x = 280,650 × 280,650
4. Step 4: Simplify right side
   186,942x = 78,764,422,500
5. Step 5: Solve for x
   x = 78,764,422,500/186,942
6. Step 6: Final answer
   x = 421,330.80