Finding the Third Proportional to 382,644 and 834,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   382,644 : 834,185.25 = 834,185.25 : x
2. Step 2: Convert to fraction form
   382,644/834,185.25 = 834,185.25/x
3. Step 3: Cross multiply
   382,644x = 834,185.25 × 834,185.25
4. Step 4: Simplify right side
   382,644x = 695,865,031,317.56
5. Step 5: Solve for x
   x = 695,865,031,317.56/382,644
6. Step 6: Final answer
   x = 1,818,570.35