Finding the Third Proportional to 125,541 and 259,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,541 : 259,771.50 = 259,771.50 : x
2. Step 2: Convert to fraction form
   125,541/259,771.50 = 259,771.50/x
3. Step 3: Cross multiply
   125,541x = 259,771.50 × 259,771.50
4. Step 4: Simplify right side
   125,541x = 67,481,232,212.25
5. Step 5: Solve for x
   x = 67,481,232,212.25/125,541
6. Step 6: Final answer
   x = 537,523.46