Finding the Third Proportional to 127,644 and 265,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,644 : 265,789.50 = 265,789.50 : x
2. Step 2: Convert to fraction form
   127,644/265,789.50 = 265,789.50/x
3. Step 3: Cross multiply
   127,644x = 265,789.50 × 265,789.50
4. Step 4: Simplify right side
   127,644x = 70,644,058,310.25
5. Step 5: Solve for x
   x = 70,644,058,310.25/127,644
6. Step 6: Final answer
   x = 553,445.98