Finding the Third Proportional to 259,370 and 389,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,370 : 389,054.50 = 389,054.50 : x
2. Step 2: Convert to fraction form
   259,370/389,054.50 = 389,054.50/x
3. Step 3: Cross multiply
   259,370x = 389,054.50 × 389,054.50
4. Step 4: Simplify right side
   259,370x = 151,363,403,970.25
5. Step 5: Solve for x
   x = 151,363,403,970.25/259,370
6. Step 6: Final answer
   x = 583,581.00