Finding the Third Proportional to 537,714 and 825,369.75

Step by Step Solution

1. Step 1: Write the proportion equation
   537,714 : 825,369.75 = 825,369.75 : x
2. Step 2: Convert to fraction form
   537,714/825,369.75 = 825,369.75/x
3. Step 3: Cross multiply
   537,714x = 825,369.75 × 825,369.75
4. Step 4: Simplify right side
   537,714x = 681,235,224,215.06
5. Step 5: Solve for x
   x = 681,235,224,215.06/537,714
6. Step 6: Final answer
   x = 1,266,909.96