Finding the Third Proportional to 314,503 and 679,061

Step by Step Solution

1. Step 1: Write the proportion equation
   314,503 : 679,061 = 679,061 : x
2. Step 2: Convert to fraction form
   314,503/679,061 = 679,061/x
3. Step 3: Cross multiply
   314,503x = 679,061 × 679,061
4. Step 4: Simplify right side
   314,503x = 461,123,841,721
5. Step 5: Solve for x
   x = 461,123,841,721/314,503
6. Step 6: Final answer
   x = 1,466,198.55