Finding the Third Proportional to 514,144 and 1,114,096

Step by Step Solution

1. Step 1: Write the proportion equation
   514,144 : 1,114,096 = 1,114,096 : x
2. Step 2: Convert to fraction form
   514,144/1,114,096 = 1,114,096/x
3. Step 3: Cross multiply
   514,144x = 1,114,096 × 1,114,096
4. Step 4: Simplify right side
   514,144x = 1,241,209,897,216
5. Step 5: Solve for x
   x = 1,241,209,897,216/514,144
6. Step 6: Final answer
   x = 2,414,128.92