Finding the Third Proportional to 222,267 and 333,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,267 : 333,427.50 = 333,427.50 : x
2. Step 2: Convert to fraction form
   222,267/333,427.50 = 333,427.50/x
3. Step 3: Cross multiply
   222,267x = 333,427.50 × 333,427.50
4. Step 4: Simplify right side
   222,267x = 111,173,897,756.25
5. Step 5: Solve for x
   x = 111,173,897,756.25/222,267
6. Step 6: Final answer
   x = 500,181.75