Finding the Third Proportional to 116,772 and 181,179

Step by Step Solution

1. Step 1: Write the proportion equation
   116,772 : 181,179 = 181,179 : x
2. Step 2: Convert to fraction form
   116,772/181,179 = 181,179/x
3. Step 3: Cross multiply
   116,772x = 181,179 × 181,179
4. Step 4: Simplify right side
   116,772x = 32,825,830,041
5. Step 5: Solve for x
   x = 32,825,830,041/116,772
6. Step 6: Final answer
   x = 281,110.45