Finding the Third Proportional to 89,186 and 138,171

Step by Step Solution

1. Step 1: Write the proportion equation
   89,186 : 138,171 = 138,171 : x
2. Step 2: Convert to fraction form
   89,186/138,171 = 138,171/x
3. Step 3: Cross multiply
   89,186x = 138,171 × 138,171
4. Step 4: Simplify right side
   89,186x = 19,091,225,241
5. Step 5: Solve for x
   x = 19,091,225,241/89,186
6. Step 6: Final answer
   x = 214,060.79