Finding the Third Proportional to 43,874 and 94,753.25

Step by Step Solution

1. Step 1: Write the proportion equation
   43,874 : 94,753.25 = 94,753.25 : x
2. Step 2: Convert to fraction form
   43,874/94,753.25 = 94,753.25/x
3. Step 3: Cross multiply
   43,874x = 94,753.25 × 94,753.25
4. Step 4: Simplify right side
   43,874x = 8,978,178,385.56
5. Step 5: Solve for x
   x = 8,978,178,385.56/43,874
6. Step 6: Final answer
   x = 204,635.51