Finding the Third Proportional to 375,897 and 581,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   375,897 : 581,791.50 = 581,791.50 : x
2. Step 2: Convert to fraction form
   375,897/581,791.50 = 581,791.50/x
3. Step 3: Cross multiply
   375,897x = 581,791.50 × 581,791.50
4. Step 4: Simplify right side
   375,897x = 338,481,349,472.25
5. Step 5: Solve for x
   x = 338,481,349,472.25/375,897
6. Step 6: Final answer
   x = 900,463.02