Finding the Third Proportional to 208,141 and 309,907

Step by Step Solution

1. Step 1: Write the proportion equation
   208,141 : 309,907 = 309,907 : x
2. Step 2: Convert to fraction form
   208,141/309,907 = 309,907/x
3. Step 3: Cross multiply
   208,141x = 309,907 × 309,907
4. Step 4: Simplify right side
   208,141x = 96,042,348,649
5. Step 5: Solve for x
   x = 96,042,348,649/208,141
6. Step 6: Final answer
   x = 461,429.27