Finding the Third Proportional to 257,294 and 551,500

Step by Step Solution

1. Step 1: Write the proportion equation
   257,294 : 551,500 = 551,500 : x
2. Step 2: Convert to fraction form
   257,294/551,500 = 551,500/x
3. Step 3: Cross multiply
   257,294x = 551,500 × 551,500
4. Step 4: Simplify right side
   257,294x = 304,152,250,000
5. Step 5: Solve for x
   x = 304,152,250,000/257,294
6. Step 6: Final answer
   x = 1,182,119.48