Finding the Third Proportional to 203,758 and 314,870

Step by Step Solution

1. Step 1: Write the proportion equation
   203,758 : 314,870 = 314,870 : x
2. Step 2: Convert to fraction form
   203,758/314,870 = 314,870/x
3. Step 3: Cross multiply
   203,758x = 314,870 × 314,870
4. Step 4: Simplify right side
   203,758x = 99,143,116,900
5. Step 5: Solve for x
   x = 99,143,116,900/203,758
6. Step 6: Final answer
   x = 486,572.88