Finding the Third Proportional to 276,115.50 and 419,640

Step by Step Solution

1. Step 1: Write the proportion equation
   276,115.50 : 419,640 = 419,640 : x
2. Step 2: Convert to fraction form
   276,115.50/419,640 = 419,640/x
3. Step 3: Cross multiply
   276,115.50x = 419,640 × 419,640
4. Step 4: Simplify right side
   276,115.50x = 176,097,729,600
5. Step 5: Solve for x
   x = 176,097,729,600/276,115.50
6. Step 6: Final answer
   x = 637,768.36