Finding the Third Proportional to 164,196 and 353,721.38

Step by Step Solution

1. Step 1: Write the proportion equation
   164,196 : 353,721.38 = 353,721.38 : x
2. Step 2: Convert to fraction form
   164,196/353,721.38 = 353,721.38/x
3. Step 3: Cross multiply
   164,196x = 353,721.38 × 353,721.38
4. Step 4: Simplify right side
   164,196x = 125,118,811,131.89
5. Step 5: Solve for x
   x = 125,118,811,131.89/164,196
6. Step 6: Final answer
   x = 762,008.89