Finding the Third Proportional to 116,190 and 179,505

Step by Step Solution

1. Step 1: Write the proportion equation
   116,190 : 179,505 = 179,505 : x
2. Step 2: Convert to fraction form
   116,190/179,505 = 179,505/x
3. Step 3: Cross multiply
   116,190x = 179,505 × 179,505
4. Step 4: Simplify right side
   116,190x = 32,222,045,025
5. Step 5: Solve for x
   x = 32,222,045,025/116,190
6. Step 6: Final answer
   x = 277,322.02