Finding the Third Proportional to 89,250 and 138,271

Step by Step Solution

1. Step 1: Write the proportion equation
   89,250 : 138,271 = 138,271 : x
2. Step 2: Convert to fraction form
   89,250/138,271 = 138,271/x
3. Step 3: Cross multiply
   89,250x = 138,271 × 138,271
4. Step 4: Simplify right side
   89,250x = 19,118,869,441
5. Step 5: Solve for x
   x = 19,118,869,441/89,250
6. Step 6: Final answer
   x = 214,217.02