Finding the Third Proportional to 41,161 and 85,146

Step by Step Solution

1. Step 1: Write the proportion equation
   41,161 : 85,146 = 85,146 : x
2. Step 2: Convert to fraction form
   41,161/85,146 = 85,146/x
3. Step 3: Cross multiply
   41,161x = 85,146 × 85,146
4. Step 4: Simplify right side
   41,161x = 7,249,841,316
5. Step 5: Solve for x
   x = 7,249,841,316/41,161
6. Step 6: Final answer
   x = 176,133.75