Finding the Third Proportional to 189,426 and 294,099

Step by Step Solution

1. Step 1: Write the proportion equation
   189,426 : 294,099 = 294,099 : x
2. Step 2: Convert to fraction form
   189,426/294,099 = 294,099/x
3. Step 3: Cross multiply
   189,426x = 294,099 × 294,099
4. Step 4: Simplify right side
   189,426x = 86,494,221,801
5. Step 5: Solve for x
   x = 86,494,221,801/189,426
6. Step 6: Final answer
   x = 456,612.20