Finding the Third Proportional to 89,808 and 138,456

Step by Step Solution

1. Step 1: Write the proportion equation
   89,808 : 138,456 = 138,456 : x
2. Step 2: Convert to fraction form
   89,808/138,456 = 138,456/x
3. Step 3: Cross multiply
   89,808x = 138,456 × 138,456
4. Step 4: Simplify right side
   89,808x = 19,170,063,936
5. Step 5: Solve for x
   x = 19,170,063,936/89,808
6. Step 6: Final answer
   x = 213,456.08