Finding the Third Proportional to 276,914.50 and 414,911

Step by Step Solution

1. Step 1: Write the proportion equation
   276,914.50 : 414,911 = 414,911 : x
2. Step 2: Convert to fraction form
   276,914.50/414,911 = 414,911/x
3. Step 3: Cross multiply
   276,914.50x = 414,911 × 414,911
4. Step 4: Simplify right side
   276,914.50x = 172,151,137,921
5. Step 5: Solve for x
   x = 172,151,137,921/276,914.50
6. Step 6: Final answer
   x = 621,676.14