Finding the Third Proportional to 69,096 and 101,378

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096 : 101,378 = 101,378 : x
2. Step 2: Convert to fraction form
   69,096/101,378 = 101,378/x
3. Step 3: Cross multiply
   69,096x = 101,378 × 101,378
4. Step 4: Simplify right side
   69,096x = 10,277,498,884
5. Step 5: Solve for x
   x = 10,277,498,884/69,096
6. Step 6: Final answer
   x = 148,742.31