Finding the Third Proportional to 123,672 and 187,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,672 : 187,864 = 187,864 : x
2. Step 2: Convert to fraction form
   123,672/187,864 = 187,864/x
3. Step 3: Cross multiply
   123,672x = 187,864 × 187,864
4. Step 4: Simplify right side
   123,672x = 35,292,882,496
5. Step 5: Solve for x
   x = 35,292,882,496/123,672
6. Step 6: Final answer
   x = 285,374.88