Finding the Third Proportional to 815,820 and 1,767,216

Step by Step Solution

1. Step 1: Write the proportion equation
   815,820 : 1,767,216 = 1,767,216 : x
2. Step 2: Convert to fraction form
   815,820/1,767,216 = 1,767,216/x
3. Step 3: Cross multiply
   815,820x = 1,767,216 × 1,767,216
4. Step 4: Simplify right side
   815,820x = 3,123,052,390,656
5. Step 5: Solve for x
   x = 3,123,052,390,656/815,820
6. Step 6: Final answer
   x = 3,828,114.52