Finding the Third Proportional to 533,711 and 825,501

Step by Step Solution

1. Step 1: Write the proportion equation
   533,711 : 825,501 = 825,501 : x
2. Step 2: Convert to fraction form
   533,711/825,501 = 825,501/x
3. Step 3: Cross multiply
   533,711x = 825,501 × 825,501
4. Step 4: Simplify right side
   533,711x = 681,451,901,001
5. Step 5: Solve for x
   x = 681,451,901,001/533,711
6. Step 6: Final answer
   x = 1,276,818.17