Finding the Third Proportional to 238,638 and 334,492

Step by Step Solution

1. Step 1: Write the proportion equation
   238,638 : 334,492 = 334,492 : x
2. Step 2: Convert to fraction form
   238,638/334,492 = 334,492/x
3. Step 3: Cross multiply
   238,638x = 334,492 × 334,492
4. Step 4: Simplify right side
   238,638x = 111,884,898,064
5. Step 5: Solve for x
   x = 111,884,898,064/238,638
6. Step 6: Final answer
   x = 468,847.79