Finding the Third Proportional to 90,405 and 189,072

Step by Step Solution

1. Step 1: Write the proportion equation
   90,405 : 189,072 = 189,072 : x
2. Step 2: Convert to fraction form
   90,405/189,072 = 189,072/x
3. Step 3: Cross multiply
   90,405x = 189,072 × 189,072
4. Step 4: Simplify right side
   90,405x = 35,748,221,184
5. Step 5: Solve for x
   x = 35,748,221,184/90,405
6. Step 6: Final answer
   x = 395,423.05