Finding the Third Proportional to 383,968.50 and 516,897

Step by Step Solution

1. Step 1: Write the proportion equation
   383,968.50 : 516,897 = 516,897 : x
2. Step 2: Convert to fraction form
   383,968.50/516,897 = 516,897/x
3. Step 3: Cross multiply
   383,968.50x = 516,897 × 516,897
4. Step 4: Simplify right side
   383,968.50x = 267,182,508,609
5. Step 5: Solve for x
   x = 267,182,508,609/383,968.50
6. Step 6: Final answer
   x = 695,844.86