Finding the Third Proportional to 238,684 and 334,590

Step by Step Solution

1. Step 1: Write the proportion equation
   238,684 : 334,590 = 334,590 : x
2. Step 2: Convert to fraction form
   238,684/334,590 = 334,590/x
3. Step 3: Cross multiply
   238,684x = 334,590 × 334,590
4. Step 4: Simplify right side
   238,684x = 111,950,468,100
5. Step 5: Solve for x
   x = 111,950,468,100/238,684
6. Step 6: Final answer
   x = 469,032.14