Finding the Third Proportional to 95,414 and 188,416

Step by Step Solution

1. Step 1: Write the proportion equation
   95,414 : 188,416 = 188,416 : x
2. Step 2: Convert to fraction form
   95,414/188,416 = 188,416/x
3. Step 3: Cross multiply
   95,414x = 188,416 × 188,416
4. Step 4: Simplify right side
   95,414x = 35,500,589,056
5. Step 5: Solve for x
   x = 35,500,589,056/95,414
6. Step 6: Final answer
   x = 372,068.97