Finding the Third Proportional to 222,591 and 333,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,591 : 333,886.50 = 333,886.50 : x
2. Step 2: Convert to fraction form
   222,591/333,886.50 = 333,886.50/x
3. Step 3: Cross multiply
   222,591x = 333,886.50 × 333,886.50
4. Step 4: Simplify right side
   222,591x = 111,480,194,882.25
5. Step 5: Solve for x
   x = 111,480,194,882.25/222,591
6. Step 6: Final answer
   x = 500,829.75