Finding the Third Proportional to 116,192 and 179,508

Step by Step Solution

1. Step 1: Write the proportion equation
   116,192 : 179,508 = 179,508 : x
2. Step 2: Convert to fraction form
   116,192/179,508 = 179,508/x
3. Step 3: Cross multiply
   116,192x = 179,508 × 179,508
4. Step 4: Simplify right side
   116,192x = 32,223,122,064
5. Step 5: Solve for x
   x = 32,223,122,064/116,192
6. Step 6: Final answer
   x = 277,326.51