Finding the Third Proportional to 116,778 and 181,191

Step by Step Solution

1. Step 1: Write the proportion equation
   116,778 : 181,191 = 181,191 : x
2. Step 2: Convert to fraction form
   116,778/181,191 = 181,191/x
3. Step 3: Cross multiply
   116,778x = 181,191 × 181,191
4. Step 4: Simplify right side
   116,778x = 32,830,178,481
5. Step 5: Solve for x
   x = 32,830,178,481/116,778
6. Step 6: Final answer
   x = 281,133.25