Finding the Third Proportional to 222,068 and 338,624

Step by Step Solution

1. Step 1: Write the proportion equation
   222,068 : 338,624 = 338,624 : x
2. Step 2: Convert to fraction form
   222,068/338,624 = 338,624/x
3. Step 3: Cross multiply
   222,068x = 338,624 × 338,624
4. Step 4: Simplify right side
   222,068x = 114,666,213,376
5. Step 5: Solve for x
   x = 114,666,213,376/222,068
6. Step 6: Final answer
   x = 516,356.31