Finding the Third Proportional to 99,895 and 140,520

Step by Step Solution

1. Step 1: Write the proportion equation
   99,895 : 140,520 = 140,520 : x
2. Step 2: Convert to fraction form
   99,895/140,520 = 140,520/x
3. Step 3: Cross multiply
   99,895x = 140,520 × 140,520
4. Step 4: Simplify right side
   99,895x = 19,745,870,400
5. Step 5: Solve for x
   x = 19,745,870,400/99,895
6. Step 6: Final answer
   x = 197,666.25