Finding the Third Proportional to 154,942 and 209,090

Step by Step Solution

1. Step 1: Write the proportion equation
   154,942 : 209,090 = 209,090 : x
2. Step 2: Convert to fraction form
   154,942/209,090 = 209,090/x
3. Step 3: Cross multiply
   154,942x = 209,090 × 209,090
4. Step 4: Simplify right side
   154,942x = 43,718,628,100
5. Step 5: Solve for x
   x = 43,718,628,100/154,942
6. Step 6: Final answer
   x = 282,161.25