Finding the Third Proportional to 87,584 and 131,196

Step by Step Solution

1. Step 1: Write the proportion equation
   87,584 : 131,196 = 131,196 : x
2. Step 2: Convert to fraction form
   87,584/131,196 = 131,196/x
3. Step 3: Cross multiply
   87,584x = 131,196 × 131,196
4. Step 4: Simplify right side
   87,584x = 17,212,390,416
5. Step 5: Solve for x
   x = 17,212,390,416/87,584
6. Step 6: Final answer
   x = 196,524.37