Finding the Third Proportional to 238,968 and 353,004

Step by Step Solution

1. Step 1: Write the proportion equation
   238,968 : 353,004 = 353,004 : x
2. Step 2: Convert to fraction form
   238,968/353,004 = 353,004/x
3. Step 3: Cross multiply
   238,968x = 353,004 × 353,004
4. Step 4: Simplify right side
   238,968x = 124,611,824,016
5. Step 5: Solve for x
   x = 124,611,824,016/238,968
6. Step 6: Final answer
   x = 521,458.20