Finding the Third Proportional to 526,538 and 825,132

Step by Step Solution

1. Step 1: Write the proportion equation
   526,538 : 825,132 = 825,132 : x
2. Step 2: Convert to fraction form
   526,538/825,132 = 825,132/x
3. Step 3: Cross multiply
   526,538x = 825,132 × 825,132
4. Step 4: Simplify right side
   526,538x = 680,842,817,424
5. Step 5: Solve for x
   x = 680,842,817,424/526,538
6. Step 6: Final answer
   x = 1,293,055.43