Finding the Third Proportional to 51,984 and 112,290

Step by Step Solution

1. Step 1: Write the proportion equation
   51,984 : 112,290 = 112,290 : x
2. Step 2: Convert to fraction form
   51,984/112,290 = 112,290/x
3. Step 3: Cross multiply
   51,984x = 112,290 × 112,290
4. Step 4: Simplify right side
   51,984x = 12,609,044,100
5. Step 5: Solve for x
   x = 12,609,044,100/51,984
6. Step 6: Final answer
   x = 242,556.25