Finding the Third Proportional to 123,918 and 175,185

Step by Step Solution

1. Step 1: Write the proportion equation
   123,918 : 175,185 = 175,185 : x
2. Step 2: Convert to fraction form
   123,918/175,185 = 175,185/x
3. Step 3: Cross multiply
   123,918x = 175,185 × 175,185
4. Step 4: Simplify right side
   123,918x = 30,689,784,225
5. Step 5: Solve for x
   x = 30,689,784,225/123,918
6. Step 6: Final answer
   x = 247,662.04