Finding the Third Proportional to 48,142 and 105,032

Step by Step Solution

1. Step 1: Write the proportion equation
   48,142 : 105,032 = 105,032 : x
2. Step 2: Convert to fraction form
   48,142/105,032 = 105,032/x
3. Step 3: Cross multiply
   48,142x = 105,032 × 105,032
4. Step 4: Simplify right side
   48,142x = 11,031,721,024
5. Step 5: Solve for x
   x = 11,031,721,024/48,142
6. Step 6: Final answer
   x = 229,149.62