Finding the Third Proportional to 164,588 and 354,150

Step by Step Solution

1. Step 1: Write the proportion equation
   164,588 : 354,150 = 354,150 : x
2. Step 2: Convert to fraction form
   164,588/354,150 = 354,150/x
3. Step 3: Cross multiply
   164,588x = 354,150 × 354,150
4. Step 4: Simplify right side
   164,588x = 125,422,222,500
5. Step 5: Solve for x
   x = 125,422,222,500/164,588
6. Step 6: Final answer
   x = 762,037.47