Finding the Third Proportional to 107,978 and 237,212

Step by Step Solution

1. Step 1: Write the proportion equation
   107,978 : 237,212 = 237,212 : x
2. Step 2: Convert to fraction form
   107,978/237,212 = 237,212/x
3. Step 3: Cross multiply
   107,978x = 237,212 × 237,212
4. Step 4: Simplify right side
   107,978x = 56,269,532,944
5. Step 5: Solve for x
   x = 56,269,532,944/107,978
6. Step 6: Final answer
   x = 521,120.35