Finding the Third Proportional to 51,984 and 111,408

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 111,408 = 111,408 : x
2. Step 2: Convert to fraction form
   51,984/111,408 = 111,408/x
3. Step 3: Cross multiply
   51,984x = 111,408 × 111,408
4. Step 4: Simplify right side
   51,984x = 12,411,742,464
5. Step 5: Solve for x
   x = 12,411,742,464/51,984
6. Step 6: Final answer
   x = 238,760.82