Finding the Third Proportional to 123,219 and 186,472

Step by Step Solution

1. Step 1: Write the proportion equation
   123,219 : 186,472 = 186,472 : x
2. Step 2: Convert to fraction form
   123,219/186,472 = 186,472/x
3. Step 3: Cross multiply
   123,219x = 186,472 × 186,472
4. Step 4: Simplify right side
   123,219x = 34,771,806,784
5. Step 5: Solve for x
   x = 34,771,806,784/123,219
6. Step 6: Final answer
   x = 282,195.17