Finding the Third Proportional to 176,826 and 270,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,826 : 270,403.50 = 270,403.50 : x
2. Step 2: Convert to fraction form
   176,826/270,403.50 = 270,403.50/x
3. Step 3: Cross multiply
   176,826x = 270,403.50 × 270,403.50
4. Step 4: Simplify right side
   176,826x = 73,118,052,812.25
5. Step 5: Solve for x
   x = 73,118,052,812.25/176,826
6. Step 6: Final answer
   x = 413,502.84