Finding the Third Proportional to 89,394 and 189,156

Step by Step Solution

1. Step 1: Write the proportion equation
   89,394 : 189,156 = 189,156 : x
2. Step 2: Convert to fraction form
   89,394/189,156 = 189,156/x
3. Step 3: Cross multiply
   89,394x = 189,156 × 189,156
4. Step 4: Simplify right side
   89,394x = 35,779,992,336
5. Step 5: Solve for x
   x = 35,779,992,336/89,394
6. Step 6: Final answer
   x = 400,250.49