Finding the Third Proportional to 127,077.50 and 264,689

Step by Step Solution

1. Step 1: Write the proportion equation
   127,077.50 : 264,689 = 264,689 : x
2. Step 2: Convert to fraction form
   127,077.50/264,689 = 264,689/x
3. Step 3: Cross multiply
   127,077.50x = 264,689 × 264,689
4. Step 4: Simplify right side
   127,077.50x = 70,060,266,721
5. Step 5: Solve for x
   x = 70,060,266,721/127,077.50
6. Step 6: Final answer
   x = 551,319.21