Finding the Third Proportional to 802,320 and 1,762,096

Step by Step Solution

1. Step 1: Write the proportion equation
   802,320 : 1,762,096 = 1,762,096 : x
2. Step 2: Convert to fraction form
   802,320/1,762,096 = 1,762,096/x
3. Step 3: Cross multiply
   802,320x = 1,762,096 × 1,762,096
4. Step 4: Simplify right side
   802,320x = 3,104,982,313,216
5. Step 5: Solve for x
   x = 3,104,982,313,216/802,320
6. Step 6: Final answer
   x = 3,870,004.88