Finding the Third Proportional to 165,588 and 359,988

Step by Step Solution

1. Step 1: Write the proportion equation
   165,588 : 359,988 = 359,988 : x
2. Step 2: Convert to fraction form
   165,588/359,988 = 359,988/x
3. Step 3: Cross multiply
   165,588x = 359,988 × 359,988
4. Step 4: Simplify right side
   165,588x = 129,591,360,144
5. Step 5: Solve for x
   x = 129,591,360,144/165,588
6. Step 6: Final answer
   x = 782,613.23