Finding the Third Proportional to 119,506.50 and 260,082

Step by Step Solution

1. Step 1: Write the proportion equation
   119,506.50 : 260,082 = 260,082 : x
2. Step 2: Convert to fraction form
   119,506.50/260,082 = 260,082/x
3. Step 3: Cross multiply
   119,506.50x = 260,082 × 260,082
4. Step 4: Simplify right side
   119,506.50x = 67,642,646,724
5. Step 5: Solve for x
   x = 67,642,646,724/119,506.50
6. Step 6: Final answer
   x = 566,016.47