Finding the Third Proportional to 164,912 and 353,144

Step by Step Solution

1. Step 1: Write the proportion equation
   164,912 : 353,144 = 353,144 : x
2. Step 2: Convert to fraction form
   164,912/353,144 = 353,144/x
3. Step 3: Cross multiply
   164,912x = 353,144 × 353,144
4. Step 4: Simplify right side
   164,912x = 124,710,684,736
5. Step 5: Solve for x
   x = 124,710,684,736/164,912
6. Step 6: Final answer
   x = 756,225.65