Finding the Third Proportional to 93,860 and 189,256

Step by Step Solution

1. Step 1: Write the proportion equation
   93,860 : 189,256 = 189,256 : x
2. Step 2: Convert to fraction form
   93,860/189,256 = 189,256/x
3. Step 3: Cross multiply
   93,860x = 189,256 × 189,256
4. Step 4: Simplify right side
   93,860x = 35,817,833,536
5. Step 5: Solve for x
   x = 35,817,833,536/93,860
6. Step 6: Final answer
   x = 381,609.14