Finding the Third Proportional to 770,534 and 1,022,412

Step by Step Solution

1. Step 1: Write the proportion equation
   770,534 : 1,022,412 = 1,022,412 : x
2. Step 2: Convert to fraction form
   770,534/1,022,412 = 1,022,412/x
3. Step 3: Cross multiply
   770,534x = 1,022,412 × 1,022,412
4. Step 4: Simplify right side
   770,534x = 1,045,326,297,744
5. Step 5: Solve for x
   x = 1,045,326,297,744/770,534
6. Step 6: Final answer
   x = 1,356,625.79