Finding the Third Proportional to 127,640 and 277,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,640 : 277,663.50 = 277,663.50 : x
2. Step 2: Convert to fraction form
   127,640/277,663.50 = 277,663.50/x
3. Step 3: Cross multiply
   127,640x = 277,663.50 × 277,663.50
4. Step 4: Simplify right side
   127,640x = 77,097,019,232.25
5. Step 5: Solve for x
   x = 77,097,019,232.25/127,640
6. Step 6: Final answer
   x = 604,019.27