Finding the Third Proportional to 85,642 and 189,642

Step by Step Solution

1. Step 1: Write the proportion equation
   85,642 : 189,642 = 189,642 : x
2. Step 2: Convert to fraction form
   85,642/189,642 = 189,642/x
3. Step 3: Cross multiply
   85,642x = 189,642 × 189,642
4. Step 4: Simplify right side
   85,642x = 35,964,088,164
5. Step 5: Solve for x
   x = 35,964,088,164/85,642
6. Step 6: Final answer
   x = 419,935.17