Finding the Third Proportional to 276,738 and 415,112.25

Step by Step Solution

1. Step 1: Write the proportion equation
   276,738 : 415,112.25 = 415,112.25 : x
2. Step 2: Convert to fraction form
   276,738/415,112.25 = 415,112.25/x
3. Step 3: Cross multiply
   276,738x = 415,112.25 × 415,112.25
4. Step 4: Simplify right side
   276,738x = 172,318,180,100.06
5. Step 5: Solve for x
   x = 172,318,180,100.06/276,738
6. Step 6: Final answer
   x = 622,676.25