Finding the Third Proportional to 50,184 and 118,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,184 : 118,462.50 = 118,462.50 : x
2. Step 2: Convert to fraction form
   50,184/118,462.50 = 118,462.50/x
3. Step 3: Cross multiply
   50,184x = 118,462.50 × 118,462.50
4. Step 4: Simplify right side
   50,184x = 14,033,363,906.25
5. Step 5: Solve for x
   x = 14,033,363,906.25/50,184
6. Step 6: Final answer
   x = 279,638.21