Finding the Third Proportional to 496,126 and 788,488

Step by Step Solution

1. Step 1: Write the proportion equation
   496,126 : 788,488 = 788,488 : x
2. Step 2: Convert to fraction form
   496,126/788,488 = 788,488/x
3. Step 3: Cross multiply
   496,126x = 788,488 × 788,488
4. Step 4: Simplify right side
   496,126x = 621,713,326,144
5. Step 5: Solve for x
   x = 621,713,326,144/496,126
6. Step 6: Final answer
   x = 1,253,135.95