Finding the Third Proportional to 259,821 and 558,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,821 : 558,319.50 = 558,319.50 : x
2. Step 2: Convert to fraction form
   259,821/558,319.50 = 558,319.50/x
3. Step 3: Cross multiply
   259,821x = 558,319.50 × 558,319.50
4. Step 4: Simplify right side
   259,821x = 311,720,664,080.25
5. Step 5: Solve for x
   x = 311,720,664,080.25/259,821
6. Step 6: Final answer
   x = 1,199,751.61