Finding the Third Proportional to 189,268 and 293,016

Step by Step Solution

1. Step 1: Write the proportion equation
   189,268 : 293,016 = 293,016 : x
2. Step 2: Convert to fraction form
   189,268/293,016 = 293,016/x
3. Step 3: Cross multiply
   189,268x = 293,016 × 293,016
4. Step 4: Simplify right side
   189,268x = 85,858,376,256
5. Step 5: Solve for x
   x = 85,858,376,256/189,268
6. Step 6: Final answer
   x = 453,633.88