Finding the Third Proportional to 189,132 and 293,256

Step by Step Solution

1. Step 1: Write the proportion equation
   189,132 : 293,256 = 293,256 : x
2. Step 2: Convert to fraction form
   189,132/293,256 = 293,256/x
3. Step 3: Cross multiply
   189,132x = 293,256 × 293,256
4. Step 4: Simplify right side
   189,132x = 85,999,081,536
5. Step 5: Solve for x
   x = 85,999,081,536/189,132
6. Step 6: Final answer
   x = 454,704.02