Finding the Third Proportional to 802,365 and 1,762,182

Step by Step Solution

1. Step 1: Write the proportion equation
   802,365 : 1,762,182 = 1,762,182 : x
2. Step 2: Convert to fraction form
   802,365/1,762,182 = 1,762,182/x
3. Step 3: Cross multiply
   802,365x = 1,762,182 × 1,762,182
4. Step 4: Simplify right side
   802,365x = 3,105,285,401,124
5. Step 5: Solve for x
   x = 3,105,285,401,124/802,365
6. Step 6: Final answer
   x = 3,870,165.57