Finding the Third Proportional to 377,832 and 584,928

Step by Step Solution

1. Step 1: Write the proportion equation
   377,832 : 584,928 = 584,928 : x
2. Step 2: Convert to fraction form
   377,832/584,928 = 584,928/x
3. Step 3: Cross multiply
   377,832x = 584,928 × 584,928
4. Step 4: Simplify right side
   377,832x = 342,140,765,184
5. Step 5: Solve for x
   x = 342,140,765,184/377,832
6. Step 6: Final answer
   x = 905,536.76