Finding the Third Proportional to 353,828.25 and 763,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   353,828.25 : 763,978.50 = 763,978.50 : x
2. Step 2: Convert to fraction form
   353,828.25/763,978.50 = 763,978.50/x
3. Step 3: Cross multiply
   353,828.25x = 763,978.50 × 763,978.50
4. Step 4: Simplify right side
   353,828.25x = 583,663,148,462.25
5. Step 5: Solve for x
   x = 583,663,148,462.25/353,828.25
6. Step 6: Final answer
   x = 1,649,566.28