Finding the Third Proportional to 123,050 and 189,768

Step by Step Solution

1. Step 1: Write the proportion equation
   123,050 : 189,768 = 189,768 : x
2. Step 2: Convert to fraction form
   123,050/189,768 = 189,768/x
3. Step 3: Cross multiply
   123,050x = 189,768 × 189,768
4. Step 4: Simplify right side
   123,050x = 36,011,893,824
5. Step 5: Solve for x
   x = 36,011,893,824/123,050
6. Step 6: Final answer
   x = 292,660.66