Finding the Third Proportional to 41,552 and 86,172

Step by Step Solution

1. Step 1: Write the proportion equation
   41,552 : 86,172 = 86,172 : x
2. Step 2: Convert to fraction form
   41,552/86,172 = 86,172/x
3. Step 3: Cross multiply
   41,552x = 86,172 × 86,172
4. Step 4: Simplify right side
   41,552x = 7,425,613,584
5. Step 5: Solve for x
   x = 7,425,613,584/41,552
6. Step 6: Final answer
   x = 178,706.53