Finding the Third Proportional to 164,698 and 359,514

Step by Step Solution

1. Step 1: Write the proportion equation
   164,698 : 359,514 = 359,514 : x
2. Step 2: Convert to fraction form
   164,698/359,514 = 359,514/x
3. Step 3: Cross multiply
   164,698x = 359,514 × 359,514
4. Step 4: Simplify right side
   164,698x = 129,250,316,196
5. Step 5: Solve for x
   x = 129,250,316,196/164,698
6. Step 6: Final answer
   x = 784,771.62