Finding the Third Proportional to 164,224 and 353,004

Step by Step Solution

1. Step 1: Write the proportion equation
   164,224 : 353,004 = 353,004 : x
2. Step 2: Convert to fraction form
   164,224/353,004 = 353,004/x
3. Step 3: Cross multiply
   164,224x = 353,004 × 353,004
4. Step 4: Simplify right side
   164,224x = 124,611,824,016
5. Step 5: Solve for x
   x = 124,611,824,016/164,224
6. Step 6: Final answer
   x = 758,791.80