Finding the Third Proportional to 345,456 and 814,312

Step by Step Solution

1. Step 1: Write the proportion equation
   345,456 : 814,312 = 814,312 : x
2. Step 2: Convert to fraction form
   345,456/814,312 = 814,312/x
3. Step 3: Cross multiply
   345,456x = 814,312 × 814,312
4. Step 4: Simplify right side
   345,456x = 663,104,033,344
5. Step 5: Solve for x
   x = 663,104,033,344/345,456
6. Step 6: Final answer
   x = 1,919,503.59