Finding the Third Proportional to 259,749 and 389,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,749 : 389,632.50 = 389,632.50 : x
2. Step 2: Convert to fraction form
   259,749/389,632.50 = 389,632.50/x
3. Step 3: Cross multiply
   259,749x = 389,632.50 × 389,632.50
4. Step 4: Simplify right side
   259,749x = 151,813,485,056.25
5. Step 5: Solve for x
   x = 151,813,485,056.25/259,749
6. Step 6: Final answer
   x = 584,462.25