Finding the Third Proportional to 165,523.50 and 354,375

Step by Step Solution

1. Step 1: Write the proportion equation
   165,523.50 : 354,375 = 354,375 : x
2. Step 2: Convert to fraction form
   165,523.50/354,375 = 354,375/x
3. Step 3: Cross multiply
   165,523.50x = 354,375 × 354,375
4. Step 4: Simplify right side
   165,523.50x = 125,581,640,625
5. Step 5: Solve for x
   x = 125,581,640,625/165,523.50
6. Step 6: Final answer
   x = 758,693.72