Finding the Third Proportional to 164,335.50 and 353,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,335.50 : 353,200.50 = 353,200.50 : x
2. Step 2: Convert to fraction form
   164,335.50/353,200.50 = 353,200.50/x
3. Step 3: Cross multiply
   164,335.50x = 353,200.50 × 353,200.50
4. Step 4: Simplify right side
   164,335.50x = 124,750,593,200.25
5. Step 5: Solve for x
   x = 124,750,593,200.25/164,335.50
6. Step 6: Final answer
   x = 759,121.39