Finding the Third Proportional to 238,629 and 334,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,629 : 334,480.50 = 334,480.50 : x
2. Step 2: Convert to fraction form
   238,629/334,480.50 = 334,480.50/x
3. Step 3: Cross multiply
   238,629x = 334,480.50 × 334,480.50
4. Step 4: Simplify right side
   238,629x = 111,877,204,880.25
5. Step 5: Solve for x
   x = 111,877,204,880.25/238,629
6. Step 6: Final answer
   x = 468,833.23