Finding the Third Proportional to 366,837 and 546,870

Step by Step Solution

1. Step 1: Write the proportion equation
   366,837 : 546,870 = 546,870 : x
2. Step 2: Convert to fraction form
   366,837/546,870 = 546,870/x
3. Step 3: Cross multiply
   366,837x = 546,870 × 546,870
4. Step 4: Simplify right side
   366,837x = 299,066,796,900
5. Step 5: Solve for x
   x = 299,066,796,900/366,837
6. Step 6: Final answer
   x = 815,257.99