Finding the Third Proportional to 41,549 and 90,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,549 : 90,710.50 = 90,710.50 : x
2. Step 2: Convert to fraction form
   41,549/90,710.50 = 90,710.50/x
3. Step 3: Cross multiply
   41,549x = 90,710.50 × 90,710.50
4. Step 4: Simplify right side
   41,549x = 8,228,394,810.25
5. Step 5: Solve for x
   x = 8,228,394,810.25/41,549
6. Step 6: Final answer
   x = 198,040.74