Finding the Third Proportional to 41,567 and 86,090

Step by Step Solution

1. Step 1: Write the proportion equation
   41,567 : 86,090 = 86,090 : x
2. Step 2: Convert to fraction form
   41,567/86,090 = 86,090/x
3. Step 3: Cross multiply
   41,567x = 86,090 × 86,090
4. Step 4: Simplify right side
   41,567x = 7,411,488,100
5. Step 5: Solve for x
   x = 7,411,488,100/41,567
6. Step 6: Final answer
   x = 178,302.21