Finding the Third Proportional to 89,262 and 138,302

Step by Step Solution

1. Step 1: Write the proportion equation
   89,262 : 138,302 = 138,302 : x
2. Step 2: Convert to fraction form
   89,262/138,302 = 138,302/x
3. Step 3: Cross multiply
   89,262x = 138,302 × 138,302
4. Step 4: Simplify right side
   89,262x = 19,127,443,204
5. Step 5: Solve for x
   x = 19,127,443,204/89,262
6. Step 6: Final answer
   x = 214,284.28