Finding the Third Proportional to 142,929 and 196,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,929 : 196,168.50 = 196,168.50 : x
2. Step 2: Convert to fraction form
   142,929/196,168.50 = 196,168.50/x
3. Step 3: Cross multiply
   142,929x = 196,168.50 × 196,168.50
4. Step 4: Simplify right side
   142,929x = 38,482,080,392.25
5. Step 5: Solve for x
   x = 38,482,080,392.25/142,929
6. Step 6: Final answer
   x = 269,239.14