Finding the Third Proportional to 41,541 and 90,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,541 : 90,093.50 = 90,093.50 : x
2. Step 2: Convert to fraction form
   41,541/90,093.50 = 90,093.50/x
3. Step 3: Cross multiply
   41,541x = 90,093.50 × 90,093.50
4. Step 4: Simplify right side
   41,541x = 8,116,838,742.25
5. Step 5: Solve for x
   x = 8,116,838,742.25/41,541
6. Step 6: Final answer
   x = 195,393.44