Finding the Third Proportional to 116,702 and 181,054

Step by Step Solution

1. Step 1: Write the proportion equation
   116,702 : 181,054 = 181,054 : x
2. Step 2: Convert to fraction form
   116,702/181,054 = 181,054/x
3. Step 3: Cross multiply
   116,702x = 181,054 × 181,054
4. Step 4: Simplify right side
   116,702x = 32,780,550,916
5. Step 5: Solve for x
   x = 32,780,550,916/116,702
6. Step 6: Final answer
   x = 280,891.08