Finding the Third Proportional to 116,590.50 and 180,040

Step by Step Solution

1. Step 1: Write the proportion equation
   116,590.50 : 180,040 = 180,040 : x
2. Step 2: Convert to fraction form
   116,590.50/180,040 = 180,040/x
3. Step 3: Cross multiply
   116,590.50x = 180,040 × 180,040
4. Step 4: Simplify right side
   116,590.50x = 32,414,401,600
5. Step 5: Solve for x
   x = 32,414,401,600/116,590.50
6. Step 6: Final answer
   x = 278,019.23