Finding the Third Proportional to 838,100 and 1,297,462

Step by Step Solution

1. Step 1: Write the proportion equation
   838,100 : 1,297,462 = 1,297,462 : x
2. Step 2: Convert to fraction form
   838,100/1,297,462 = 1,297,462/x
3. Step 3: Cross multiply
   838,100x = 1,297,462 × 1,297,462
4. Step 4: Simplify right side
   838,100x = 1,683,407,641,444
5. Step 5: Solve for x
   x = 1,683,407,641,444/838,100
6. Step 6: Final answer
   x = 2,008,599.98