Finding the Third Proportional to 276,264 and 415,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   276,264 : 415,419.75 = 415,419.75 : x
2. Step 2: Convert to fraction form
   276,264/415,419.75 = 415,419.75/x
3. Step 3: Cross multiply
   276,264x = 415,419.75 × 415,419.75
4. Step 4: Simplify right side
   276,264x = 172,573,568,690.06
5. Step 5: Solve for x
   x = 172,573,568,690.06/276,264
6. Step 6: Final answer
   x = 624,669.04