Finding the Third Proportional to 222,938 and 336,784

Step by Step Solution

1. Step 1: Write the proportion equation
   222,938 : 336,784 = 336,784 : x
2. Step 2: Convert to fraction form
   222,938/336,784 = 336,784/x
3. Step 3: Cross multiply
   222,938x = 336,784 × 336,784
4. Step 4: Simplify right side
   222,938x = 113,423,462,656
5. Step 5: Solve for x
   x = 113,423,462,656/222,938
6. Step 6: Final answer
   x = 508,766.84