Finding the Third Proportional to 276,675 and 415,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,675 : 415,015.50 = 415,015.50 : x
2. Step 2: Convert to fraction form
   276,675/415,015.50 = 415,015.50/x
3. Step 3: Cross multiply
   276,675x = 415,015.50 × 415,015.50
4. Step 4: Simplify right side
   276,675x = 172,237,865,240.25
5. Step 5: Solve for x
   x = 172,237,865,240.25/276,675
6. Step 6: Final answer
   x = 622,527.75