Finding the Third Proportional to 127,053 and 268,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,053 : 268,198.50 = 268,198.50 : x
2. Step 2: Convert to fraction form
   127,053/268,198.50 = 268,198.50/x
3. Step 3: Cross multiply
   127,053x = 268,198.50 × 268,198.50
4. Step 4: Simplify right side
   127,053x = 71,930,435,402.25
5. Step 5: Solve for x
   x = 71,930,435,402.25/127,053
6. Step 6: Final answer
   x = 566,145.12