Finding the Third Proportional to 345,414 and 814,230

Step by Step Solution

1. Step 1: Write the proportion equation
   345,414 : 814,230 = 814,230 : x
2. Step 2: Convert to fraction form
   345,414/814,230 = 814,230/x
3. Step 3: Cross multiply
   345,414x = 814,230 × 814,230
4. Step 4: Simplify right side
   345,414x = 662,970,492,900
5. Step 5: Solve for x
   x = 662,970,492,900/345,414
6. Step 6: Final answer
   x = 1,919,350.38