Finding the Third Proportional to 142,967 and 210,016

Step by Step Solution

1. Step 1: Write the proportion equation
   142,967 : 210,016 = 210,016 : x
2. Step 2: Convert to fraction form
   142,967/210,016 = 210,016/x
3. Step 3: Cross multiply
   142,967x = 210,016 × 210,016
4. Step 4: Simplify right side
   142,967x = 44,106,720,256
5. Step 5: Solve for x
   x = 44,106,720,256/142,967
6. Step 6: Final answer
   x = 308,509.80