Finding the Third Proportional to 126,044 and 189,066

Step by Step Solution

1. Step 1: Write the proportion equation
   126,044 : 189,066 = 189,066 : x
2. Step 2: Convert to fraction form
   126,044/189,066 = 189,066/x
3. Step 3: Cross multiply
   126,044x = 189,066 × 189,066
4. Step 4: Simplify right side
   126,044x = 35,745,952,356
5. Step 5: Solve for x
   x = 35,745,952,356/126,044
6. Step 6: Final answer
   x = 283,599