Finding the Third Proportional to 89,296 and 138,142

Step by Step Solution

1. Step 1: Write the proportion equation
   89,296 : 138,142 = 138,142 : x
2. Step 2: Convert to fraction form
   89,296/138,142 = 138,142/x
3. Step 3: Cross multiply
   89,296x = 138,142 × 138,142
4. Step 4: Simplify right side
   89,296x = 19,083,212,164
5. Step 5: Solve for x
   x = 19,083,212,164/89,296
6. Step 6: Final answer
   x = 213,707.36