Finding the Third Proportional to 525,760 and 1,140,096

Step by Step Solution

1. Step 1: Write the proportion equation
   525,760 : 1,140,096 = 1,140,096 : x
2. Step 2: Convert to fraction form
   525,760/1,140,096 = 1,140,096/x
3. Step 3: Cross multiply
   525,760x = 1,140,096 × 1,140,096
4. Step 4: Simplify right side
   525,760x = 1,299,818,889,216
5. Step 5: Solve for x
   x = 1,299,818,889,216/525,760
6. Step 6: Final answer
   x = 2,472,266.60