Finding the Third Proportional to 73,734 and 157,978

Step by Step Solution

1. Step 1: Write the proportion equation
   73,734 : 157,978 = 157,978 : x
2. Step 2: Convert to fraction form
   73,734/157,978 = 157,978/x
3. Step 3: Cross multiply
   73,734x = 157,978 × 157,978
4. Step 4: Simplify right side
   73,734x = 24,957,048,484
5. Step 5: Solve for x
   x = 24,957,048,484/73,734
6. Step 6: Final answer
   x = 338,474.09