Finding the Third Proportional to 123,402 and 186,621

Step by Step Solution

1. Step 1: Write the proportion equation
   123,402 : 186,621 = 186,621 : x
2. Step 2: Convert to fraction form
   123,402/186,621 = 186,621/x
3. Step 3: Cross multiply
   123,402x = 186,621 × 186,621
4. Step 4: Simplify right side
   123,402x = 34,827,397,641
5. Step 5: Solve for x
   x = 34,827,397,641/123,402
6. Step 6: Final answer
   x = 282,227.17