Finding the Third Proportional to 127,221 and 264,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,221 : 264,904.50 = 264,904.50 : x
2. Step 2: Convert to fraction form
   127,221/264,904.50 = 264,904.50/x
3. Step 3: Cross multiply
   127,221x = 264,904.50 × 264,904.50
4. Step 4: Simplify right side
   127,221x = 70,174,394,120.25
5. Step 5: Solve for x
   x = 70,174,394,120.25/127,221
6. Step 6: Final answer
   x = 551,594.42