Finding the Third Proportional to 127,827 and 276,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,827 : 276,808.50 = 276,808.50 : x
2. Step 2: Convert to fraction form
   127,827/276,808.50 = 276,808.50/x
3. Step 3: Cross multiply
   127,827x = 276,808.50 × 276,808.50
4. Step 4: Simplify right side
   127,827x = 76,622,945,672.25
5. Step 5: Solve for x
   x = 76,622,945,672.25/127,827
6. Step 6: Final answer
   x = 599,426.93