Finding the Third Proportional to 120,513 and 254,570

Step by Step Solution

1. Step 1: Write the proportion equation
   120,513 : 254,570 = 254,570 : x
2. Step 2: Convert to fraction form
   120,513/254,570 = 254,570/x
3. Step 3: Cross multiply
   120,513x = 254,570 × 254,570
4. Step 4: Simplify right side
   120,513x = 64,805,884,900
5. Step 5: Solve for x
   x = 64,805,884,900/120,513
6. Step 6: Final answer
   x = 537,750.16