Finding the Third Proportional to 770,586 and 1,022,769

Step by Step Solution

1. Step 1: Write the proportion equation
   770,586 : 1,022,769 = 1,022,769 : x
2. Step 2: Convert to fraction form
   770,586/1,022,769 = 1,022,769/x
3. Step 3: Cross multiply
   770,586x = 1,022,769 × 1,022,769
4. Step 4: Simplify right side
   770,586x = 1,046,056,427,361
5. Step 5: Solve for x
   x = 1,046,056,427,361/770,586
6. Step 6: Final answer
   x = 1,357,481.74