Finding the Third Proportional to 208,134 and 309,897

Step by Step Solution

1. Step 1: Write the proportion equation
   208,134 : 309,897 = 309,897 : x
2. Step 2: Convert to fraction form
   208,134/309,897 = 309,897/x
3. Step 3: Cross multiply
   208,134x = 309,897 × 309,897
4. Step 4: Simplify right side
   208,134x = 96,036,150,609
5. Step 5: Solve for x
   x = 96,036,150,609/208,134
6. Step 6: Final answer
   x = 461,415.00