Finding the Third Proportional to 277,978 and 609,144

Step by Step Solution

1. Step 1: Write the proportion equation
   277,978 : 609,144 = 609,144 : x
2. Step 2: Convert to fraction form
   277,978/609,144 = 609,144/x
3. Step 3: Cross multiply
   277,978x = 609,144 × 609,144
4. Step 4: Simplify right side
   277,978x = 371,056,412,736
5. Step 5: Solve for x
   x = 371,056,412,736/277,978
6. Step 6: Final answer
   x = 1,334,840.93