Finding the Third Proportional to 120,049.50 and 260,457

Step by Step Solution

1. Step 1: Write the proportion equation
   120,049.50 : 260,457 = 260,457 : x
2. Step 2: Convert to fraction form
   120,049.50/260,457 = 260,457/x
3. Step 3: Cross multiply
   120,049.50x = 260,457 × 260,457
4. Step 4: Simplify right side
   120,049.50x = 67,837,848,849
5. Step 5: Solve for x
   x = 67,837,848,849/120,049.50
6. Step 6: Final answer
   x = 565,082.31