Finding the Third Proportional to 89,741 and 138,938

Step by Step Solution

1. Step 1: Write the proportion equation
   89,741 : 138,938 = 138,938 : x
2. Step 2: Convert to fraction form
   89,741/138,938 = 138,938/x
3. Step 3: Cross multiply
   89,741x = 138,938 × 138,938
4. Step 4: Simplify right side
   89,741x = 19,303,767,844
5. Step 5: Solve for x
   x = 19,303,767,844/89,741
6. Step 6: Final answer
   x = 215,105.33