Finding the Third Proportional to 45,874 and 94,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,874 : 94,894.50 = 94,894.50 : x
2. Step 2: Convert to fraction form
   45,874/94,894.50 = 94,894.50/x
3. Step 3: Cross multiply
   45,874x = 94,894.50 × 94,894.50
4. Step 4: Simplify right side
   45,874x = 9,004,966,130.25
5. Step 5: Solve for x
   x = 9,004,966,130.25/45,874
6. Step 6: Final answer
   x = 196,297.82