Finding the Third Proportional to 259,582.50 and 379,518

Step by Step Solution

1. Step 1: Write the proportion equation
   259,582.50 : 379,518 = 379,518 : x
2. Step 2: Convert to fraction form
   259,582.50/379,518 = 379,518/x
3. Step 3: Cross multiply
   259,582.50x = 379,518 × 379,518
4. Step 4: Simplify right side
   259,582.50x = 144,033,912,324
5. Step 5: Solve for x
   x = 144,033,912,324/259,582.50
6. Step 6: Final answer
   x = 554,867.58