Finding the Third Proportional to 89,244 and 138,262

Step by Step Solution

1. Step 1: Write the proportion equation
   89,244 : 138,262 = 138,262 : x
2. Step 2: Convert to fraction form
   89,244/138,262 = 138,262/x
3. Step 3: Cross multiply
   89,244x = 138,262 × 138,262
4. Step 4: Simplify right side
   89,244x = 19,116,380,644
5. Step 5: Solve for x
   x = 19,116,380,644/89,244
6. Step 6: Final answer
   x = 214,203.54