Finding the Third Proportional to 111,968 and 169,032

Step by Step Solution

1. Step 1: Write the proportion equation
   111,968 : 169,032 = 169,032 : x
2. Step 2: Convert to fraction form
   111,968/169,032 = 169,032/x
3. Step 3: Cross multiply
   111,968x = 169,032 × 169,032
4. Step 4: Simplify right side
   111,968x = 28,571,817,024
5. Step 5: Solve for x
   x = 28,571,817,024/111,968
6. Step 6: Final answer
   x = 255,178.42