Finding the Third Proportional to 123,024.50 and 255,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,024.50 : 255,865.50 = 255,865.50 : x
2. Step 2: Convert to fraction form
   123,024.50/255,865.50 = 255,865.50/x
3. Step 3: Cross multiply
   123,024.50x = 255,865.50 × 255,865.50
4. Step 4: Simplify right side
   123,024.50x = 65,467,154,090.25
5. Step 5: Solve for x
   x = 65,467,154,090.25/123,024.50
6. Step 6: Final answer
   x = 532,147.29