Finding the Third Proportional to 615,096 and 827,640

Step by Step Solution

1. Step 1: Write the proportion equation
   615,096 : 827,640 = 827,640 : x
2. Step 2: Convert to fraction form
   615,096/827,640 = 827,640/x
3. Step 3: Cross multiply
   615,096x = 827,640 × 827,640
4. Step 4: Simplify right side
   615,096x = 684,987,969,600
5. Step 5: Solve for x
   x = 684,987,969,600/615,096
6. Step 6: Final answer
   x = 1,113,627.74