Finding the Third Proportional to 772,818 and 1,683,096

Step by Step Solution

1. Step 1: Write the proportion equation
   772,818 : 1,683,096 = 1,683,096 : x
2. Step 2: Convert to fraction form
   772,818/1,683,096 = 1,683,096/x
3. Step 3: Cross multiply
   772,818x = 1,683,096 × 1,683,096
4. Step 4: Simplify right side
   772,818x = 2,832,812,145,216
5. Step 5: Solve for x
   x = 2,832,812,145,216/772,818
6. Step 6: Final answer
   x = 3,665,561.81