Finding the Third Proportional to 770,512 and 1,022,658

Step by Step Solution

1. Step 1: Write the proportion equation
   770,512 : 1,022,658 = 1,022,658 : x
2. Step 2: Convert to fraction form
   770,512/1,022,658 = 1,022,658/x
3. Step 3: Cross multiply
   770,512x = 1,022,658 × 1,022,658
4. Step 4: Simplify right side
   770,512x = 1,045,829,384,964
5. Step 5: Solve for x
   x = 1,045,829,384,964/770,512
6. Step 6: Final answer
   x = 1,357,317.45