Finding the Third Proportional to 89,942 and 138,969

Step by Step Solution

1. Step 1: Write the proportion equation
   89,942 : 138,969 = 138,969 : x
2. Step 2: Convert to fraction form
   89,942/138,969 = 138,969/x
3. Step 3: Cross multiply
   89,942x = 138,969 × 138,969
4. Step 4: Simplify right side
   89,942x = 19,312,382,961
5. Step 5: Solve for x
   x = 19,312,382,961/89,942
6. Step 6: Final answer
   x = 214,720.41