Finding the Third Proportional to 526,986 and 789,033

Step by Step Solution

1. Step 1: Write the proportion equation
   526,986 : 789,033 = 789,033 : x
2. Step 2: Convert to fraction form
   526,986/789,033 = 789,033/x
3. Step 3: Cross multiply
   526,986x = 789,033 × 789,033
4. Step 4: Simplify right side
   526,986x = 622,573,075,089
5. Step 5: Solve for x
   x = 622,573,075,089/526,986
6. Step 6: Final answer
   x = 1,181,384.47