Finding the Third Proportional to 117,768 and 181,945

Step by Step Solution

1. Step 1: Write the proportion equation
   117,768 : 181,945 = 181,945 : x
2. Step 2: Convert to fraction form
   117,768/181,945 = 181,945/x
3. Step 3: Cross multiply
   117,768x = 181,945 × 181,945
4. Step 4: Simplify right side
   117,768x = 33,103,983,025
5. Step 5: Solve for x
   x = 33,103,983,025/117,768
6. Step 6: Final answer
   x = 281,094.89