Finding the Third Proportional to 120,153 and 259,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,153 : 259,579.50 = 259,579.50 : x
2. Step 2: Convert to fraction form
   120,153/259,579.50 = 259,579.50/x
3. Step 3: Cross multiply
   120,153x = 259,579.50 × 259,579.50
4. Step 4: Simplify right side
   120,153x = 67,381,516,820.25
5. Step 5: Solve for x
   x = 67,381,516,820.25/120,153
6. Step 6: Final answer
   x = 560,797.62