Finding the Third Proportional to 688,000 and 1,036,032

Step by Step Solution

1. Step 1: Write the proportion equation
   688,000 : 1,036,032 = 1,036,032 : x
2. Step 2: Convert to fraction form
   688,000/1,036,032 = 1,036,032/x
3. Step 3: Cross multiply
   688,000x = 1,036,032 × 1,036,032
4. Step 4: Simplify right side
   688,000x = 1,073,362,305,024
5. Step 5: Solve for x
   x = 1,073,362,305,024/688,000
6. Step 6: Final answer
   x = 1,560,119.63