Finding the Third Proportional to 127,746 and 263,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,746 : 263,695.50 = 263,695.50 : x
2. Step 2: Convert to fraction form
   127,746/263,695.50 = 263,695.50/x
3. Step 3: Cross multiply
   127,746x = 263,695.50 × 263,695.50
4. Step 4: Simplify right side
   127,746x = 69,535,316,720.25
5. Step 5: Solve for x
   x = 69,535,316,720.25/127,746
6. Step 6: Final answer
   x = 544,324.81