Finding the Third Proportional to 142,229.25 and 208,089

Step by Step Solution

1. Step 1: Write the proportion equation
   142,229.25 : 208,089 = 208,089 : x
2. Step 2: Convert to fraction form
   142,229.25/208,089 = 208,089/x
3. Step 3: Cross multiply
   142,229.25x = 208,089 × 208,089
4. Step 4: Simplify right side
   142,229.25x = 43,301,031,921
5. Step 5: Solve for x
   x = 43,301,031,921/142,229.25
6. Step 6: Final answer
   x = 304,445.34