Finding the Third Proportional to 386,066 and 581,934

Step by Step Solution

1. Step 1: Write the proportion equation
   386,066 : 581,934 = 581,934 : x
2. Step 2: Convert to fraction form
   386,066/581,934 = 581,934/x
3. Step 3: Cross multiply
   386,066x = 581,934 × 581,934
4. Step 4: Simplify right side
   386,066x = 338,647,180,356
5. Step 5: Solve for x
   x = 338,647,180,356/386,066
6. Step 6: Final answer
   x = 877,174.32