Finding the Third Proportional to 364,912.25 and 581,096

Step by Step Solution

1. Step 1: Write the proportion equation
   364,912.25 : 581,096 = 581,096 : x
2. Step 2: Convert to fraction form
   364,912.25/581,096 = 581,096/x
3. Step 3: Cross multiply
   364,912.25x = 581,096 × 581,096
4. Step 4: Simplify right side
   364,912.25x = 337,672,561,216
5. Step 5: Solve for x
   x = 337,672,561,216/364,912.25
6. Step 6: Final answer
   x = 925,352.77