Finding the Third Proportional to 50,166 and 118,416

Step by Step Solution

1. Step 1: Write the proportion equation
   50,166 : 118,416 = 118,416 : x
2. Step 2: Convert to fraction form
   50,166/118,416 = 118,416/x
3. Step 3: Cross multiply
   50,166x = 118,416 × 118,416
4. Step 4: Simplify right side
   50,166x = 14,022,349,056
5. Step 5: Solve for x
   x = 14,022,349,056/50,166
6. Step 6: Final answer
   x = 279,518.98