Finding the Third Proportional to 117,056 and 181,072

Step by Step Solution

1. Step 1: Write the proportion equation
   117,056 : 181,072 = 181,072 : x
2. Step 2: Convert to fraction form
   117,056/181,072 = 181,072/x
3. Step 3: Cross multiply
   117,056x = 181,072 × 181,072
4. Step 4: Simplify right side
   117,056x = 32,787,069,184
5. Step 5: Solve for x
   x = 32,787,069,184/117,056
6. Step 6: Final answer
   x = 280,097.30