Finding the Third Proportional to 89,188 and 138,174

Step by Step Solution

1. Step 1: Write the proportion equation
   89,188 : 138,174 = 138,174 : x
2. Step 2: Convert to fraction form
   89,188/138,174 = 138,174/x
3. Step 3: Cross multiply
   89,188x = 138,174 × 138,174
4. Step 4: Simplify right side
   89,188x = 19,092,054,276
5. Step 5: Solve for x
   x = 19,092,054,276/89,188
6. Step 6: Final answer
   x = 214,065.28