Finding the Third Proportional to 390,777 and 584,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   390,777 : 584,524.50 = 584,524.50 : x
2. Step 2: Convert to fraction form
   390,777/584,524.50 = 584,524.50/x
3. Step 3: Cross multiply
   390,777x = 584,524.50 × 584,524.50
4. Step 4: Simplify right side
   390,777x = 341,668,891,100.25
5. Step 5: Solve for x
   x = 341,668,891,100.25/390,777
6. Step 6: Final answer
   x = 874,332.14