Finding the Third Proportional to 120,759.50 and 265,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,759.50 : 265,422.50 = 265,422.50 : x
2. Step 2: Convert to fraction form
   120,759.50/265,422.50 = 265,422.50/x
3. Step 3: Cross multiply
   120,759.50x = 265,422.50 × 265,422.50
4. Step 4: Simplify right side
   120,759.50x = 70,449,103,506.25
5. Step 5: Solve for x
   x = 70,449,103,506.25/120,759.50
6. Step 6: Final answer
   x = 583,383.53