Finding the Third Proportional to 276,561 and 417,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,561 : 417,387.50 = 417,387.50 : x
2. Step 2: Convert to fraction form
   276,561/417,387.50 = 417,387.50/x
3. Step 3: Cross multiply
   276,561x = 417,387.50 × 417,387.50
4. Step 4: Simplify right side
   276,561x = 174,212,325,156.25
5. Step 5: Solve for x
   x = 174,212,325,156.25/276,561
6. Step 6: Final answer
   x = 629,923.69