Finding the Third Proportional to 78,204 and 189,030

Step by Step Solution

1. Step 1: Write the proportion equation
   78,204 : 189,030 = 189,030 : x
2. Step 2: Convert to fraction form
   78,204/189,030 = 189,030/x
3. Step 3: Cross multiply
   78,204x = 189,030 × 189,030
4. Step 4: Simplify right side
   78,204x = 35,732,340,900
5. Step 5: Solve for x
   x = 35,732,340,900/78,204
6. Step 6: Final answer
   x = 456,911.93