Finding the Third Proportional to 89,145 and 189,738

Step by Step Solution

1. Step 1: Write the proportion equation
   89,145 : 189,738 = 189,738 : x
2. Step 2: Convert to fraction form
   89,145/189,738 = 189,738/x
3. Step 3: Cross multiply
   89,145x = 189,738 × 189,738
4. Step 4: Simplify right side
   89,145x = 36,000,508,644
5. Step 5: Solve for x
   x = 36,000,508,644/89,145
6. Step 6: Final answer
   x = 403,842.15