Finding the Third Proportional to 496,469.25 and 767,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   496,469.25 : 767,164.50 = 767,164.50 : x
2. Step 2: Convert to fraction form
   496,469.25/767,164.50 = 767,164.50/x
3. Step 3: Cross multiply
   496,469.25x = 767,164.50 × 767,164.50
4. Step 4: Simplify right side
   496,469.25x = 588,541,370,060.25
5. Step 5: Solve for x
   x = 588,541,370,060.25/496,469.25
6. Step 6: Final answer
   x = 1,185,453.82