Finding the Third Proportional to 120,852.25 and 259,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,852.25 : 259,200.50 = 259,200.50 : x
2. Step 2: Convert to fraction form
   120,852.25/259,200.50 = 259,200.50/x
3. Step 3: Cross multiply
   120,852.25x = 259,200.50 × 259,200.50
4. Step 4: Simplify right side
   120,852.25x = 67,184,899,200.25
5. Step 5: Solve for x
   x = 67,184,899,200.25/120,852.25
6. Step 6: Final answer
   x = 555,925.93