Finding the Third Proportional to 116,944 and 181,408

Step by Step Solution

1. Step 1: Write the proportion equation
   116,944 : 181,408 = 181,408 : x
2. Step 2: Convert to fraction form
   116,944/181,408 = 181,408/x
3. Step 3: Cross multiply
   116,944x = 181,408 × 181,408
4. Step 4: Simplify right side
   116,944x = 32,908,862,464
5. Step 5: Solve for x
   x = 32,908,862,464/116,944
6. Step 6: Final answer
   x = 281,407.02