Finding the Third Proportional to 106,427 and 142,014

Step by Step Solution

1. Step 1: Write the proportion equation
   106,427 : 142,014 = 142,014 : x
2. Step 2: Convert to fraction form
   106,427/142,014 = 142,014/x
3. Step 3: Cross multiply
   106,427x = 142,014 × 142,014
4. Step 4: Simplify right side
   106,427x = 20,167,976,196
5. Step 5: Solve for x
   x = 20,167,976,196/106,427
6. Step 6: Final answer
   x = 189,500.56