Finding the Third Proportional to 269,595 and 422,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,595 : 422,878.50 = 422,878.50 : x
2. Step 2: Convert to fraction form
   269,595/422,878.50 = 422,878.50/x
3. Step 3: Cross multiply
   269,595x = 422,878.50 × 422,878.50
4. Step 4: Simplify right side
   269,595x = 178,826,225,762.25
5. Step 5: Solve for x
   x = 178,826,225,762.25/269,595
6. Step 6: Final answer
   x = 663,314.33