Finding the Third Proportional to 95,256 and 142,416

Step by Step Solution

1. Step 1: Write the proportion equation
   95,256 : 142,416 = 142,416 : x
2. Step 2: Convert to fraction form
   95,256/142,416 = 142,416/x
3. Step 3: Cross multiply
   95,256x = 142,416 × 142,416
4. Step 4: Simplify right side
   95,256x = 20,282,317,056
5. Step 5: Solve for x
   x = 20,282,317,056/95,256
6. Step 6: Final answer
   x = 212,924.30