Finding the Third Proportional to 99,686 and 142,185

Step by Step Solution

1. Step 1: Write the proportion equation
   99,686 : 142,185 = 142,185 : x
2. Step 2: Convert to fraction form
   99,686/142,185 = 142,185/x
3. Step 3: Cross multiply
   99,686x = 142,185 × 142,185
4. Step 4: Simplify right side
   99,686x = 20,216,574,225
5. Step 5: Solve for x
   x = 20,216,574,225/99,686
6. Step 6: Final answer
   x = 202,802.54