Finding the Third Proportional to 41,869 and 94,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,869 : 94,682.50 = 94,682.50 : x
2. Step 2: Convert to fraction form
   41,869/94,682.50 = 94,682.50/x
3. Step 3: Cross multiply
   41,869x = 94,682.50 × 94,682.50
4. Step 4: Simplify right side
   41,869x = 8,964,775,806.25
5. Step 5: Solve for x
   x = 8,964,775,806.25/41,869
6. Step 6: Final answer
   x = 214,114.88