Finding the Third Proportional to 212,856 and 309,924

Step by Step Solution

1. Step 1: Write the proportion equation
   212,856 : 309,924 = 309,924 : x
2. Step 2: Convert to fraction form
   212,856/309,924 = 309,924/x
3. Step 3: Cross multiply
   212,856x = 309,924 × 309,924
4. Step 4: Simplify right side
   212,856x = 96,052,885,776
5. Step 5: Solve for x
   x = 96,052,885,776/212,856
6. Step 6: Final answer
   x = 451,257.59