Finding the Third Proportional to 106,564.50 and 142,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,564.50 : 142,168.50 = 142,168.50 : x
2. Step 2: Convert to fraction form
   106,564.50/142,168.50 = 142,168.50/x
3. Step 3: Cross multiply
   106,564.50x = 142,168.50 × 142,168.50
4. Step 4: Simplify right side
   106,564.50x = 20,211,882,392.25
5. Step 5: Solve for x
   x = 20,211,882,392.25/106,564.50
6. Step 6: Final answer
   x = 189,668.06