Finding the Third Proportional to 41,842 and 91,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,842 : 91,976.50 = 91,976.50 : x
2. Step 2: Convert to fraction form
   41,842/91,976.50 = 91,976.50/x
3. Step 3: Cross multiply
   41,842x = 91,976.50 × 91,976.50
4. Step 4: Simplify right side
   41,842x = 8,459,676,552.25
5. Step 5: Solve for x
   x = 8,459,676,552.25/41,842
6. Step 6: Final answer
   x = 202,181.46