Finding the Third Proportional to 276,801 and 427,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,801 : 427,027.50 = 427,027.50 : x
2. Step 2: Convert to fraction form
   276,801/427,027.50 = 427,027.50/x
3. Step 3: Cross multiply
   276,801x = 427,027.50 × 427,027.50
4. Step 4: Simplify right side
   276,801x = 182,352,485,756.25
5. Step 5: Solve for x
   x = 182,352,485,756.25/276,801
6. Step 6: Final answer
   x = 658,785.50