Finding the Third Proportional to 99,894 and 140,518

Step by Step Solution

1. Step 1: Write the proportion equation
   99,894 : 140,518 = 140,518 : x
2. Step 2: Convert to fraction form
   99,894/140,518 = 140,518/x
3. Step 3: Cross multiply
   99,894x = 140,518 × 140,518
4. Step 4: Simplify right side
   99,894x = 19,745,308,324
5. Step 5: Solve for x
   x = 19,745,308,324/99,894
6. Step 6: Final answer
   x = 197,662.61