Finding the Third Proportional to 414,388 and 584,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,388 : 584,907.50 = 584,907.50 : x
2. Step 2: Convert to fraction form
   414,388/584,907.50 = 584,907.50/x
3. Step 3: Cross multiply
   414,388x = 584,907.50 × 584,907.50
4. Step 4: Simplify right side
   414,388x = 342,116,783,556.25
5. Step 5: Solve for x
   x = 342,116,783,556.25/414,388
6. Step 6: Final answer
   x = 825,595.30