Finding the Third Proportional to 165,588 and 357,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,588 : 357,418.50 = 357,418.50 : x
2. Step 2: Convert to fraction form
   165,588/357,418.50 = 357,418.50/x
3. Step 3: Cross multiply
   165,588x = 357,418.50 × 357,418.50
4. Step 4: Simplify right side
   165,588x = 127,747,984,142.25
5. Step 5: Solve for x
   x = 127,747,984,142.25/165,588
6. Step 6: Final answer
   x = 771,480.93