Finding the Third Proportional to 116,620 and 180,082

Step by Step Solution

1. Step 1: Write the proportion equation
   116,620 : 180,082 = 180,082 : x
2. Step 2: Convert to fraction form
   116,620/180,082 = 180,082/x
3. Step 3: Cross multiply
   116,620x = 180,082 × 180,082
4. Step 4: Simplify right side
   116,620x = 32,429,526,724
5. Step 5: Solve for x
   x = 32,429,526,724/116,620
6. Step 6: Final answer
   x = 278,078.60