Finding the Third Proportional to 116,533 and 179,951

Step by Step Solution

1. Step 1: Write the proportion equation
   116,533 : 179,951 = 179,951 : x
2. Step 2: Convert to fraction form
   116,533/179,951 = 179,951/x
3. Step 3: Cross multiply
   116,533x = 179,951 × 179,951
4. Step 4: Simplify right side
   116,533x = 32,382,362,401
5. Step 5: Solve for x
   x = 32,382,362,401/116,533
6. Step 6: Final answer
   x = 277,881.48