Finding the Third Proportional to 276,906.09 and 414,897.82

Step by Step Solution

1. Step 1: Write the proportion equation
   276,906.09 : 414,897.82 = 414,897.82 : x
2. Step 2: Convert to fraction form
   276,906.09/414,897.82 = 414,897.82/x
3. Step 3: Cross multiply
   276,906.09x = 414,897.82 × 414,897.82
4. Step 4: Simplify right side
   276,906.09x = 172,140,201,300.05
5. Step 5: Solve for x
   x = 172,140,201,300.05/276,906.09
6. Step 6: Final answer
   x = 621,655.52