Finding the Third Proportional to 496,449 and 767,139

Step by Step Solution

1. Step 1: Write the proportion equation
   496,449 : 767,139 = 767,139 : x
2. Step 2: Convert to fraction form
   496,449/767,139 = 767,139/x
3. Step 3: Cross multiply
   496,449x = 767,139 × 767,139
4. Step 4: Simplify right side
   496,449x = 588,502,245,321
5. Step 5: Solve for x
   x = 588,502,245,321/496,449
6. Step 6: Final answer
   x = 1,185,423.37