Finding the Third Proportional to 138,937 and 200,751

Step by Step Solution

1. Step 1: Write the proportion equation
   138,937 : 200,751 = 200,751 : x
2. Step 2: Convert to fraction form
   138,937/200,751 = 200,751/x
3. Step 3: Cross multiply
   138,937x = 200,751 × 200,751
4. Step 4: Simplify right side
   138,937x = 40,300,964,001
5. Step 5: Solve for x
   x = 40,300,964,001/138,937
6. Step 6: Final answer
   x = 290,066.46