Finding the Third Proportional to 127,774.50 and 276,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,774.50 : 276,706.50 = 276,706.50 : x
2. Step 2: Convert to fraction form
   127,774.50/276,706.50 = 276,706.50/x
3. Step 3: Cross multiply
   127,774.50x = 276,706.50 × 276,706.50
4. Step 4: Simplify right side
   127,774.50x = 76,566,487,142.25
5. Step 5: Solve for x
   x = 76,566,487,142.25/127,774.50
6. Step 6: Final answer
   x = 599,231.36