Finding the Third Proportional to 213,738 and 333,547

Step by Step Solution

1. Step 1: Write the proportion equation
   213,738 : 333,547 = 333,547 : x
2. Step 2: Convert to fraction form
   213,738/333,547 = 333,547/x
3. Step 3: Cross multiply
   213,738x = 333,547 × 333,547
4. Step 4: Simplify right side
   213,738x = 111,253,601,209
5. Step 5: Solve for x
   x = 111,253,601,209/213,738
6. Step 6: Final answer
   x = 520,513.91