Finding the Third Proportional to 462,777 and 699,096

Step by Step Solution

1. Step 1: Write the proportion equation
   462,777 : 699,096 = 699,096 : x
2. Step 2: Convert to fraction form
   462,777/699,096 = 699,096/x
3. Step 3: Cross multiply
   462,777x = 699,096 × 699,096
4. Step 4: Simplify right side
   462,777x = 488,735,217,216
5. Step 5: Solve for x
   x = 488,735,217,216/462,777
6. Step 6: Final answer
   x = 1,056,092.28