Finding the Third Proportional to 51,488.50 and 120,291

Step by Step Solution

1. Step 1: Write the proportion equation
   51,488.50 : 120,291 = 120,291 : x
2. Step 2: Convert to fraction form
   51,488.50/120,291 = 120,291/x
3. Step 3: Cross multiply
   51,488.50x = 120,291 × 120,291
4. Step 4: Simplify right side
   51,488.50x = 14,469,924,681
5. Step 5: Solve for x
   x = 14,469,924,681/51,488.50
6. Step 6: Final answer
   x = 281,032.17