Finding the Third Proportional to 222,034.50 and 338,580

Step by Step Solution

1. Step 1: Write the proportion equation
   222,034.50 : 338,580 = 338,580 : x
2. Step 2: Convert to fraction form
   222,034.50/338,580 = 338,580/x
3. Step 3: Cross multiply
   222,034.50x = 338,580 × 338,580
4. Step 4: Simplify right side
   222,034.50x = 114,636,416,400
5. Step 5: Solve for x
   x = 114,636,416,400/222,034.50
6. Step 6: Final answer
   x = 516,300.02