Finding the Third Proportional to 189,188 and 282,142

Step by Step Solution

1. Step 1: Write the proportion equation
   189,188 : 282,142 = 282,142 : x
2. Step 2: Convert to fraction form
   189,188/282,142 = 282,142/x
3. Step 3: Cross multiply
   189,188x = 282,142 × 282,142
4. Step 4: Simplify right side
   189,188x = 79,604,108,164
5. Step 5: Solve for x
   x = 79,604,108,164/189,188
6. Step 6: Final answer
   x = 420,767.22