Finding the Third Proportional to 89,395 and 189,158

Step by Step Solution

1. Step 1: Write the proportion equation
   89,395 : 189,158 = 189,158 : x
2. Step 2: Convert to fraction form
   89,395/189,158 = 189,158/x
3. Step 3: Cross multiply
   89,395x = 189,158 × 189,158
4. Step 4: Simplify right side
   89,395x = 35,780,748,964
5. Step 5: Solve for x
   x = 35,780,748,964/89,395
6. Step 6: Final answer
   x = 400,254.48