Finding the Third Proportional to 537,713 and 825,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   537,713 : 825,371.50 = 825,371.50 : x
2. Step 2: Convert to fraction form
   537,713/825,371.50 = 825,371.50/x
3. Step 3: Cross multiply
   537,713x = 825,371.50 × 825,371.50
4. Step 4: Simplify right side
   537,713x = 681,238,113,012.25
5. Step 5: Solve for x
   x = 681,238,113,012.25/537,713
6. Step 6: Final answer
   x = 1,266,917.69