Finding the Third Proportional to 496,451 and 767,142

Step by Step Solution

1. Step 1: Write the proportion equation
   496,451 : 767,142 = 767,142 : x
2. Step 2: Convert to fraction form
   496,451/767,142 = 767,142/x
3. Step 3: Cross multiply
   496,451x = 767,142 × 767,142
4. Step 4: Simplify right side
   496,451x = 588,506,848,164
5. Step 5: Solve for x
   x = 588,506,848,164/496,451
6. Step 6: Final answer
   x = 1,185,427.86