Finding the Third Proportional to 262,647 and 407,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,647 : 407,470.50 = 407,470.50 : x
2. Step 2: Convert to fraction form
   262,647/407,470.50 = 407,470.50/x
3. Step 3: Cross multiply
   262,647x = 407,470.50 × 407,470.50
4. Step 4: Simplify right side
   262,647x = 166,032,208,370.25
5. Step 5: Solve for x
   x = 166,032,208,370.25/262,647
6. Step 6: Final answer
   x = 632,149.65