Finding the Third Proportional to 90,433 and 189,128

Step by Step Solution

1. Step 1: Write the proportion equation
   90,433 : 189,128 = 189,128 : x
2. Step 2: Convert to fraction form
   90,433/189,128 = 189,128/x
3. Step 3: Cross multiply
   90,433x = 189,128 × 189,128
4. Step 4: Simplify right side
   90,433x = 35,769,400,384
5. Step 5: Solve for x
   x = 35,769,400,384/90,433
6. Step 6: Final answer
   x = 395,534.82