Finding the Third Proportional to 117,184 and 181,600

Step by Step Solution

1. Step 1: Write the proportion equation
   117,184 : 181,600 = 181,600 : x
2. Step 2: Convert to fraction form
   117,184/181,600 = 181,600/x
3. Step 3: Cross multiply
   117,184x = 181,600 × 181,600
4. Step 4: Simplify right side
   117,184x = 32,978,560,000
5. Step 5: Solve for x
   x = 32,978,560,000/117,184
6. Step 6: Final answer
   x = 281,425.45