Finding the Third Proportional to 140,059.50 and 209,594.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,059.50 : 209,594.25 = 209,594.25 : x
2. Step 2: Convert to fraction form
   140,059.50/209,594.25 = 209,594.25/x
3. Step 3: Cross multiply
   140,059.50x = 209,594.25 × 209,594.25
4. Step 4: Simplify right side
   140,059.50x = 43,929,749,633.06
5. Step 5: Solve for x
   x = 43,929,749,633.06/140,059.50
6. Step 6: Final answer
   x = 313,650.62