Finding the Third Proportional to 250,188 and 510,564

Step by Step Solution

1. Step 1: Write the proportion equation
   250,188 : 510,564 = 510,564 : x
2. Step 2: Convert to fraction form
   250,188/510,564 = 510,564/x
3. Step 3: Cross multiply
   250,188x = 510,564 × 510,564
4. Step 4: Simplify right side
   250,188x = 260,675,598,096
5. Step 5: Solve for x
   x = 260,675,598,096/250,188
6. Step 6: Final answer
   x = 1,041,918.87