Finding the Third Proportional to 123,076 and 189,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,076 : 189,864 = 189,864 : x
2. Step 2: Convert to fraction form
   123,076/189,864 = 189,864/x
3. Step 3: Cross multiply
   123,076x = 189,864 × 189,864
4. Step 4: Simplify right side
   123,076x = 36,048,338,496
5. Step 5: Solve for x
   x = 36,048,338,496/123,076
6. Step 6: Final answer
   x = 292,894.95