Finding the Third Proportional to 89,400 and 189,168

Step by Step Solution

1. Step 1: Write the proportion equation
   89,400 : 189,168 = 189,168 : x
2. Step 2: Convert to fraction form
   89,400/189,168 = 189,168/x
3. Step 3: Cross multiply
   89,400x = 189,168 × 189,168
4. Step 4: Simplify right side
   89,400x = 35,784,532,224
5. Step 5: Solve for x
   x = 35,784,532,224/89,400
6. Step 6: Final answer
   x = 400,274.41