Finding the Third Proportional to 41,196 and 85,310

Step by Step Solution

1. Step 1: Write the proportion equation
   41,196 : 85,310 = 85,310 : x
2. Step 2: Convert to fraction form
   41,196/85,310 = 85,310/x
3. Step 3: Cross multiply
   41,196x = 85,310 × 85,310
4. Step 4: Simplify right side
   41,196x = 7,277,796,100
5. Step 5: Solve for x
   x = 7,277,796,100/41,196
6. Step 6: Final answer
   x = 176,662.69