Finding the Third Proportional to 250,927 and 514,084

Step by Step Solution

1. Step 1: Write the proportion equation
   250,927 : 514,084 = 514,084 : x
2. Step 2: Convert to fraction form
   250,927/514,084 = 514,084/x
3. Step 3: Cross multiply
   250,927x = 514,084 × 514,084
4. Step 4: Simplify right side
   250,927x = 264,282,359,056
5. Step 5: Solve for x
   x = 264,282,359,056/250,927
6. Step 6: Final answer
   x = 1,053,224.08