Finding the Third Proportional to 57,694 and 123,692

Step by Step Solution

1. Step 1: Write the proportion equation
   57,694 : 123,692 = 123,692 : x
2. Step 2: Convert to fraction form
   57,694/123,692 = 123,692/x
3. Step 3: Cross multiply
   57,694x = 123,692 × 123,692
4. Step 4: Simplify right side
   57,694x = 15,299,710,864
5. Step 5: Solve for x
   x = 15,299,710,864/57,694
6. Step 6: Final answer
   x = 265,187.21