Finding the Third Proportional to 138,426 and 300,863

Step by Step Solution

1. Step 1: Write the proportion equation
   138,426 : 300,863 = 300,863 : x
2. Step 2: Convert to fraction form
   138,426/300,863 = 300,863/x
3. Step 3: Cross multiply
   138,426x = 300,863 × 300,863
4. Step 4: Simplify right side
   138,426x = 90,518,544,769
5. Step 5: Solve for x
   x = 90,518,544,769/138,426
6. Step 6: Final answer
   x = 653,912.88