Finding the Third Proportional to 377,836 and 584,934

Step by Step Solution

1. Step 1: Write the proportion equation
   377,836 : 584,934 = 584,934 : x
2. Step 2: Convert to fraction form
   377,836/584,934 = 584,934/x
3. Step 3: Cross multiply
   377,836x = 584,934 × 584,934
4. Step 4: Simplify right side
   377,836x = 342,147,784,356
5. Step 5: Solve for x
   x = 342,147,784,356/377,836
6. Step 6: Final answer
   x = 905,545.75