Finding the Third Proportional to 214,948 and 333,948

Step by Step Solution

1. Step 1: Write the proportion equation
   214,948 : 333,948 = 333,948 : x
2. Step 2: Convert to fraction form
   214,948/333,948 = 333,948/x
3. Step 3: Cross multiply
   214,948x = 333,948 × 333,948
4. Step 4: Simplify right side
   214,948x = 111,521,266,704
5. Step 5: Solve for x
   x = 111,521,266,704/214,948
6. Step 6: Final answer
   x = 518,829.05