Finding the Third Proportional to 258,751 and 392,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,751 : 392,503.50 = 392,503.50 : x
2. Step 2: Convert to fraction form
   258,751/392,503.50 = 392,503.50/x
3. Step 3: Cross multiply
   258,751x = 392,503.50 × 392,503.50
4. Step 4: Simplify right side
   258,751x = 154,058,997,512.25
5. Step 5: Solve for x
   x = 154,058,997,512.25/258,751
6. Step 6: Final answer
   x = 595,394.79