Finding the Third Proportional to 71,739 and 157,629.38

Step by Step Solution

1. Step 1: Write the proportion equation
   71,739 : 157,629.38 = 157,629.38 : x
2. Step 2: Convert to fraction form
   71,739/157,629.38 = 157,629.38/x
3. Step 3: Cross multiply
   71,739x = 157,629.38 × 157,629.38
4. Step 4: Simplify right side
   71,739x = 24,847,019,862.89
5. Step 5: Solve for x
   x = 24,847,019,862.89/71,739
6. Step 6: Final answer
   x = 346,353.03