Finding the Third Proportional to 533,769 and 764,499

Step by Step Solution

1. Step 1: Write the proportion equation
   533,769 : 764,499 = 764,499 : x
2. Step 2: Convert to fraction form
   533,769/764,499 = 764,499/x
3. Step 3: Cross multiply
   533,769x = 764,499 × 764,499
4. Step 4: Simplify right side
   533,769x = 584,458,721,001
5. Step 5: Solve for x
   x = 584,458,721,001/533,769
6. Step 6: Final answer
   x = 1,094,965.65