Finding the Third Proportional to 116,762 and 181,167

Step by Step Solution

1. Step 1: Write the proportion equation
   116,762 : 181,167 = 181,167 : x
2. Step 2: Convert to fraction form
   116,762/181,167 = 181,167/x
3. Step 3: Cross multiply
   116,762x = 181,167 × 181,167
4. Step 4: Simplify right side
   116,762x = 32,821,481,889
5. Step 5: Solve for x
   x = 32,821,481,889/116,762
6. Step 6: Final answer
   x = 281,097.29