Finding the Third Proportional to 123,430 and 186,876

Step by Step Solution

1. Step 1: Write the proportion equation
   123,430 : 186,876 = 186,876 : x
2. Step 2: Convert to fraction form
   123,430/186,876 = 186,876/x
3. Step 3: Cross multiply
   123,430x = 186,876 × 186,876
4. Step 4: Simplify right side
   123,430x = 34,922,639,376
5. Step 5: Solve for x
   x = 34,922,639,376/123,430
6. Step 6: Final answer
   x = 282,934.78