Finding the Third Proportional to 615,240 and 827,820

Step by Step Solution

1. Step 1: Write the proportion equation
   615,240 : 827,820 = 827,820 : x
2. Step 2: Convert to fraction form
   615,240/827,820 = 827,820/x
3. Step 3: Cross multiply
   615,240x = 827,820 × 827,820
4. Step 4: Simplify right side
   615,240x = 685,285,952,400
5. Step 5: Solve for x
   x = 685,285,952,400/615,240
6. Step 6: Final answer
   x = 1,113,851.43