Finding the Third Proportional to 276,262.50 and 389,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,262.50 : 389,941.50 = 389,941.50 : x
2. Step 2: Convert to fraction form
   276,262.50/389,941.50 = 389,941.50/x
3. Step 3: Cross multiply
   276,262.50x = 389,941.50 × 389,941.50
4. Step 4: Simplify right side
   276,262.50x = 152,054,373,422.25
5. Step 5: Solve for x
   x = 152,054,373,422.25/276,262.50
6. Step 6: Final answer
   x = 550,398.17