Finding the Third Proportional to 89,097 and 189,126

Step by Step Solution

1. Step 1: Write the proportion equation
   89,097 : 189,126 = 189,126 : x
2. Step 2: Convert to fraction form
   89,097/189,126 = 189,126/x
3. Step 3: Cross multiply
   89,097x = 189,126 × 189,126
4. Step 4: Simplify right side
   89,097x = 35,768,643,876
5. Step 5: Solve for x
   x = 35,768,643,876/89,097
6. Step 6: Final answer
   x = 401,457.33