Finding the Third Proportional to 110,978 and 157,032

Step by Step Solution

1. Step 1: Write the proportion equation
   110,978 : 157,032 = 157,032 : x
2. Step 2: Convert to fraction form
   110,978/157,032 = 157,032/x
3. Step 3: Cross multiply
   110,978x = 157,032 × 157,032
4. Step 4: Simplify right side
   110,978x = 24,659,049,024
5. Step 5: Solve for x
   x = 24,659,049,024/110,978
6. Step 6: Final answer
   x = 222,197.63