Finding the Third Proportional to 602,056 and 825,582

Step by Step Solution

1. Step 1: Write the proportion equation
   602,056 : 825,582 = 825,582 : x
2. Step 2: Convert to fraction form
   602,056/825,582 = 825,582/x
3. Step 3: Cross multiply
   602,056x = 825,582 × 825,582
4. Step 4: Simplify right side
   602,056x = 681,585,638,724
5. Step 5: Solve for x
   x = 681,585,638,724/602,056
6. Step 6: Final answer
   x = 1,132,096.75