Finding the Third Proportional to 221,143.50 and 333,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,143.50 : 333,547.50 = 333,547.50 : x
2. Step 2: Convert to fraction form
   221,143.50/333,547.50 = 333,547.50/x
3. Step 3: Cross multiply
   221,143.50x = 333,547.50 × 333,547.50
4. Step 4: Simplify right side
   221,143.50x = 111,253,934,756.25
5. Step 5: Solve for x
   x = 111,253,934,756.25/221,143.50
6. Step 6: Final answer
   x = 503,084.81