Finding the Third Proportional to 824,692 and 1,737,896

Step by Step Solution

1. Step 1: Write the proportion equation
   824,692 : 1,737,896 = 1,737,896 : x
2. Step 2: Convert to fraction form
   824,692/1,737,896 = 1,737,896/x
3. Step 3: Cross multiply
   824,692x = 1,737,896 × 1,737,896
4. Step 4: Simplify right side
   824,692x = 3,020,282,506,816
5. Step 5: Solve for x
   x = 3,020,282,506,816/824,692
6. Step 6: Final answer
   x = 3,662,315.76