Finding the Third Proportional to 380,986 and 837,172

Step by Step Solution

1. Step 1: Write the proportion equation
   380,986 : 837,172 = 837,172 : x
2. Step 2: Convert to fraction form
   380,986/837,172 = 837,172/x
3. Step 3: Cross multiply
   380,986x = 837,172 × 837,172
4. Step 4: Simplify right side
   380,986x = 700,856,957,584
5. Step 5: Solve for x
   x = 700,856,957,584/380,986
6. Step 6: Final answer
   x = 1,839,587.17