Finding the Third Proportional to 585,376 and 1,258,096

Step by Step Solution

1. Step 1: Write the proportion equation
   585,376 : 1,258,096 = 1,258,096 : x
2. Step 2: Convert to fraction form
   585,376/1,258,096 = 1,258,096/x
3. Step 3: Cross multiply
   585,376x = 1,258,096 × 1,258,096
4. Step 4: Simplify right side
   585,376x = 1,582,805,545,216
5. Step 5: Solve for x
   x = 1,582,805,545,216/585,376
6. Step 6: Final answer
   x = 2,703,912.61