Finding the Third Proportional to 276,629.50 and 427,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,629.50 : 427,222.50 = 427,222.50 : x
2. Step 2: Convert to fraction form
   276,629.50/427,222.50 = 427,222.50/x
3. Step 3: Cross multiply
   276,629.50x = 427,222.50 × 427,222.50
4. Step 4: Simplify right side
   276,629.50x = 182,519,064,506.25
5. Step 5: Solve for x
   x = 182,519,064,506.25/276,629.50
6. Step 6: Final answer
   x = 659,796.10