Finding the Third Proportional to 142,920 and 196,155

Step by Step Solution

1. Step 1: Write the proportion equation
   142,920 : 196,155 = 196,155 : x
2. Step 2: Convert to fraction form
   142,920/196,155 = 196,155/x
3. Step 3: Cross multiply
   142,920x = 196,155 × 196,155
4. Step 4: Simplify right side
   142,920x = 38,476,784,025
5. Step 5: Solve for x
   x = 38,476,784,025/142,920
6. Step 6: Final answer
   x = 269,219.03