Finding the Third Proportional to 123,556.50 and 269,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,556.50 : 269,772.50 = 269,772.50 : x
2. Step 2: Convert to fraction form
   123,556.50/269,772.50 = 269,772.50/x
3. Step 3: Cross multiply
   123,556.50x = 269,772.50 × 269,772.50
4. Step 4: Simplify right side
   123,556.50x = 72,777,201,756.25
5. Step 5: Solve for x
   x = 72,777,201,756.25/123,556.50
6. Step 6: Final answer
   x = 589,019.61