Finding the Third Proportional to 120,667.50 and 260,037

Step by Step Solution

1. Step 1: Write the proportion equation
   120,667.50 : 260,037 = 260,037 : x
2. Step 2: Convert to fraction form
   120,667.50/260,037 = 260,037/x
3. Step 3: Cross multiply
   120,667.50x = 260,037 × 260,037
4. Step 4: Simplify right side
   120,667.50x = 67,619,241,369
5. Step 5: Solve for x
   x = 67,619,241,369/120,667.50
6. Step 6: Final answer
   x = 560,376.58