Finding the Third Proportional to 506,856 and 1,097,361

Step by Step Solution

1. Step 1: Write the proportion equation
   506,856 : 1,097,361 = 1,097,361 : x
2. Step 2: Convert to fraction form
   506,856/1,097,361 = 1,097,361/x
3. Step 3: Cross multiply
   506,856x = 1,097,361 × 1,097,361
4. Step 4: Simplify right side
   506,856x = 1,204,201,164,321
5. Step 5: Solve for x
   x = 1,204,201,164,321/506,856
6. Step 6: Final answer
   x = 2,375,825.02