Finding the Third Proportional to 123,404 and 186,624

Step by Step Solution

1. Step 1: Write the proportion equation
   123,404 : 186,624 = 186,624 : x
2. Step 2: Convert to fraction form
   123,404/186,624 = 186,624/x
3. Step 3: Cross multiply
   123,404x = 186,624 × 186,624
4. Step 4: Simplify right side
   123,404x = 34,828,517,376
5. Step 5: Solve for x
   x = 34,828,517,376/123,404
6. Step 6: Final answer
   x = 282,231.67