Finding the Third Proportional to 127,876.50 and 269,010

Step by Step Solution

1. Step 1: Write the proportion equation
   127,876.50 : 269,010 = 269,010 : x
2. Step 2: Convert to fraction form
   127,876.50/269,010 = 269,010/x
3. Step 3: Cross multiply
   127,876.50x = 269,010 × 269,010
4. Step 4: Simplify right side
   127,876.50x = 72,366,380,100
5. Step 5: Solve for x
   x = 72,366,380,100/127,876.50
6. Step 6: Final answer
   x = 565,908.36