Finding the Third Proportional to 683,834 and 1,582,952

Step by Step Solution

1. Step 1: Write the proportion equation
   683,834 : 1,582,952 = 1,582,952 : x
2. Step 2: Convert to fraction form
   683,834/1,582,952 = 1,582,952/x
3. Step 3: Cross multiply
   683,834x = 1,582,952 × 1,582,952
4. Step 4: Simplify right side
   683,834x = 2,505,737,034,304
5. Step 5: Solve for x
   x = 2,505,737,034,304/683,834
6. Step 6: Final answer
   x = 3,664,247.51