Finding the Third Proportional to 189,006 and 290,016

Step by Step Solution

1. Step 1: Write the proportion equation
   189,006 : 290,016 = 290,016 : x
2. Step 2: Convert to fraction form
   189,006/290,016 = 290,016/x
3. Step 3: Cross multiply
   189,006x = 290,016 × 290,016
4. Step 4: Simplify right side
   189,006x = 84,109,280,256
5. Step 5: Solve for x
   x = 84,109,280,256/189,006
6. Step 6: Final answer
   x = 445,008.52