Finding the Third Proportional to 69,538 and 151,894

Step by Step Solution

1. Step 1: Write the proportion equation
   69,538 : 151,894 = 151,894 : x
2. Step 2: Convert to fraction form
   69,538/151,894 = 151,894/x
3. Step 3: Cross multiply
   69,538x = 151,894 × 151,894
4. Step 4: Simplify right side
   69,538x = 23,071,787,236
5. Step 5: Solve for x
   x = 23,071,787,236/69,538
6. Step 6: Final answer
   x = 331,786.75