Finding the Third Proportional to 89,284 and 138,361

Step by Step Solution

1. Step 1: Write the proportion equation
   89,284 : 138,361 = 138,361 : x
2. Step 2: Convert to fraction form
   89,284/138,361 = 138,361/x
3. Step 3: Cross multiply
   89,284x = 138,361 × 138,361
4. Step 4: Simplify right side
   89,284x = 19,143,766,321
5. Step 5: Solve for x
   x = 19,143,766,321/89,284
6. Step 6: Final answer
   x = 214,414.30