Finding the Third Proportional to 51,024 and 118,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,024 : 118,615.50 = 118,615.50 : x
2. Step 2: Convert to fraction form
   51,024/118,615.50 = 118,615.50/x
3. Step 3: Cross multiply
   51,024x = 118,615.50 × 118,615.50
4. Step 4: Simplify right side
   51,024x = 14,069,636,840.25
5. Step 5: Solve for x
   x = 14,069,636,840.25/51,024
6. Step 6: Final answer
   x = 275,745.47