Finding the Third Proportional to 294,166 and 642,280

Step by Step Solution

1. Step 1: Write the proportion equation
   294,166 : 642,280 = 642,280 : x
2. Step 2: Convert to fraction form
   294,166/642,280 = 642,280/x
3. Step 3: Cross multiply
   294,166x = 642,280 × 642,280
4. Step 4: Simplify right side
   294,166x = 412,523,598,400
5. Step 5: Solve for x
   x = 412,523,598,400/294,166
6. Step 6: Final answer
   x = 1,402,349.69