Finding the Third Proportional to 335,754 and 506,870

Step by Step Solution

1. Step 1: Write the proportion equation
   335,754 : 506,870 = 506,870 : x
2. Step 2: Convert to fraction form
   335,754/506,870 = 506,870/x
3. Step 3: Cross multiply
   335,754x = 506,870 × 506,870
4. Step 4: Simplify right side
   335,754x = 256,917,196,900
5. Step 5: Solve for x
   x = 256,917,196,900/335,754
6. Step 6: Final answer
   x = 765,194.75