Finding the Third Proportional to 88,306 and 189,238

Step by Step Solution

1. Step 1: Write the proportion equation
   88,306 : 189,238 = 189,238 : x
2. Step 2: Convert to fraction form
   88,306/189,238 = 189,238/x
3. Step 3: Cross multiply
   88,306x = 189,238 × 189,238
4. Step 4: Simplify right side
   88,306x = 35,811,020,644
5. Step 5: Solve for x
   x = 35,811,020,644/88,306
6. Step 6: Final answer
   x = 405,533.27