Finding the Third Proportional to 41,945.50 and 92,180

Step by Step Solution

1. Step 1: Write the proportion equation
   41,945.50 : 92,180 = 92,180 : x
2. Step 2: Convert to fraction form
   41,945.50/92,180 = 92,180/x
3. Step 3: Cross multiply
   41,945.50x = 92,180 × 92,180
4. Step 4: Simplify right side
   41,945.50x = 8,497,152,400
5. Step 5: Solve for x
   x = 8,497,152,400/41,945.50
6. Step 6: Final answer
   x = 202,576.02