Finding the Third Proportional to 65,938 and 102,268

Step by Step Solution

1. Step 1: Write the proportion equation
   65,938 : 102,268 = 102,268 : x
2. Step 2: Convert to fraction form
   65,938/102,268 = 102,268/x
3. Step 3: Cross multiply
   65,938x = 102,268 × 102,268
4. Step 4: Simplify right side
   65,938x = 10,458,743,824
5. Step 5: Solve for x
   x = 10,458,743,824/65,938
6. Step 6: Final answer
   x = 158,614.82