Finding the Third Proportional to 123,680 and 187,880

Step by Step Solution

1. Step 1: Write the proportion equation
   123,680 : 187,880 = 187,880 : x
2. Step 2: Convert to fraction form
   123,680/187,880 = 187,880/x
3. Step 3: Cross multiply
   123,680x = 187,880 × 187,880
4. Step 4: Simplify right side
   123,680x = 35,298,894,400
5. Step 5: Solve for x
   x = 35,298,894,400/123,680
6. Step 6: Final answer
   x = 285,405.03