Finding the Third Proportional to 127,066.50 and 264,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,066.50 : 264,658.50 = 264,658.50 : x
2. Step 2: Convert to fraction form
   127,066.50/264,658.50 = 264,658.50/x
3. Step 3: Cross multiply
   127,066.50x = 264,658.50 × 264,658.50
4. Step 4: Simplify right side
   127,066.50x = 70,044,121,622.25
5. Step 5: Solve for x
   x = 70,044,121,622.25/127,066.50
6. Step 6: Final answer
   x = 551,239.88