Finding the Third Proportional to 380,919 and 812,462

Step by Step Solution

1. Step 1: Write the proportion equation
   380,919 : 812,462 = 812,462 : x
2. Step 2: Convert to fraction form
   380,919/812,462 = 812,462/x
3. Step 3: Cross multiply
   380,919x = 812,462 × 812,462
4. Step 4: Simplify right side
   380,919x = 660,094,501,444
5. Step 5: Solve for x
   x = 660,094,501,444/380,919
6. Step 6: Final answer
   x = 1,732,899.91