Finding the Third Proportional to 89,916 and 138,930

Step by Step Solution

1. Step 1: Write the proportion equation
   89,916 : 138,930 = 138,930 : x
2. Step 2: Convert to fraction form
   89,916/138,930 = 138,930/x
3. Step 3: Cross multiply
   89,916x = 138,930 × 138,930
4. Step 4: Simplify right side
   89,916x = 19,301,544,900
5. Step 5: Solve for x
   x = 19,301,544,900/89,916
6. Step 6: Final answer
   x = 214,661.96