Finding the Third Proportional to 514,314 and 815,064

Step by Step Solution

1. Step 1: Write the proportion equation
   514,314 : 815,064 = 815,064 : x
2. Step 2: Convert to fraction form
   514,314/815,064 = 815,064/x
3. Step 3: Cross multiply
   514,314x = 815,064 × 815,064
4. Step 4: Simplify right side
   514,314x = 664,329,324,096
5. Step 5: Solve for x
   x = 664,329,324,096/514,314
6. Step 6: Final answer
   x = 1,291,680.42