Finding the Third Proportional to 127,560 and 277,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,560 : 277,597.50 = 277,597.50 : x
2. Step 2: Convert to fraction form
   127,560/277,597.50 = 277,597.50/x
3. Step 3: Cross multiply
   127,560x = 277,597.50 × 277,597.50
4. Step 4: Simplify right side
   127,560x = 77,060,372,006.25
5. Step 5: Solve for x
   x = 77,060,372,006.25/127,560
6. Step 6: Final answer
   x = 604,110.79