Finding the Third Proportional to 51,984 and 111,072

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 111,072 = 111,072 : x
2. Step 2: Convert to fraction form
   51,984/111,072 = 111,072/x
3. Step 3: Cross multiply
   51,984x = 111,072 × 111,072
4. Step 4: Simplify right side
   51,984x = 12,336,989,184
5. Step 5: Solve for x
   x = 12,336,989,184/51,984
6. Step 6: Final answer
   x = 237,322.81