Finding the Third Proportional to 146,034 and 189,099

Step by Step Solution

1. Step 1: Write the proportion equation
   146,034 : 189,099 = 189,099 : x
2. Step 2: Convert to fraction form
   146,034/189,099 = 189,099/x
3. Step 3: Cross multiply
   146,034x = 189,099 × 189,099
4. Step 4: Simplify right side
   146,034x = 35,758,431,801
5. Step 5: Solve for x
   x = 35,758,431,801/146,034
6. Step 6: Final answer
   x = 244,863.74