Finding the Third Proportional to 277,848 and 414,940.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,848 : 414,940.50 = 414,940.50 : x
2. Step 2: Convert to fraction form
   277,848/414,940.50 = 414,940.50/x
3. Step 3: Cross multiply
   277,848x = 414,940.50 × 414,940.50
4. Step 4: Simplify right side
   277,848x = 172,175,618,540.25
5. Step 5: Solve for x
   x = 172,175,618,540.25/277,848
6. Step 6: Final answer
   x = 619,675.57