Finding the Third Proportional to 238,426 and 334,172

Step by Step Solution

1. Step 1: Write the proportion equation
   238,426 : 334,172 = 334,172 : x
2. Step 2: Convert to fraction form
   238,426/334,172 = 334,172/x
3. Step 3: Cross multiply
   238,426x = 334,172 × 334,172
4. Step 4: Simplify right side
   238,426x = 111,670,925,584
5. Step 5: Solve for x
   x = 111,670,925,584/238,426
6. Step 6: Final answer
   x = 468,367.23