Finding the Third Proportional to 111,392 and 160,944

Step by Step Solution

1. Step 1: Write the proportion equation
   111,392 : 160,944 = 160,944 : x
2. Step 2: Convert to fraction form
   111,392/160,944 = 160,944/x
3. Step 3: Cross multiply
   111,392x = 160,944 × 160,944
4. Step 4: Simplify right side
   111,392x = 25,902,971,136
5. Step 5: Solve for x
   x = 25,902,971,136/111,392
6. Step 6: Final answer
   x = 232,538.88