Finding the Third Proportional to 117,172 and 181,584

Step by Step Solution

1. Step 1: Write the proportion equation
   117,172 : 181,584 = 181,584 : x
2. Step 2: Convert to fraction form
   117,172/181,584 = 181,584/x
3. Step 3: Cross multiply
   117,172x = 181,584 × 181,584
4. Step 4: Simplify right side
   117,172x = 32,972,749,056
5. Step 5: Solve for x
   x = 32,972,749,056/117,172
6. Step 6: Final answer
   x = 281,404.68