Finding the Third Proportional to 566,096 and 909,008

Step by Step Solution

1. Step 1: Write the proportion equation
   566,096 : 909,008 = 909,008 : x
2. Step 2: Convert to fraction form
   566,096/909,008 = 909,008/x
3. Step 3: Cross multiply
   566,096x = 909,008 × 909,008
4. Step 4: Simplify right side
   566,096x = 826,295,544,064
5. Step 5: Solve for x
   x = 826,295,544,064/566,096
6. Step 6: Final answer
   x = 1,459,638.55