Finding the Third Proportional to 377,892 and 585,091.69

Step by Step Solution

1. Step 1: Write the proportion equation
   377,892 : 585,091.69 = 585,091.69 : x
2. Step 2: Convert to fraction form
   377,892/585,091.69 = 585,091.69/x
3. Step 3: Cross multiply
   377,892x = 585,091.69 × 585,091.69
4. Step 4: Simplify right side
   377,892x = 342,332,282,781.60
5. Step 5: Solve for x
   x = 342,332,282,781.60/377,892
6. Step 6: Final answer
   x = 905,899.79