Finding the Third Proportional to 53,142 and 82,233

Step by Step Solution

1. Step 1: Write the proportion equation
   53,142 : 82,233 = 82,233 : x
2. Step 2: Convert to fraction form
   53,142/82,233 = 82,233/x
3. Step 3: Cross multiply
   53,142x = 82,233 × 82,233
4. Step 4: Simplify right side
   53,142x = 6,762,266,289
5. Step 5: Solve for x
   x = 6,762,266,289/53,142
6. Step 6: Final answer
   x = 127,249.00