Finding the Third Proportional to 56,128.50 and 122,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,128.50 : 122,827.50 = 122,827.50 : x
2. Step 2: Convert to fraction form
   56,128.50/122,827.50 = 122,827.50/x
3. Step 3: Cross multiply
   56,128.50x = 122,827.50 × 122,827.50
4. Step 4: Simplify right side
   56,128.50x = 15,086,594,756.25
5. Step 5: Solve for x
   x = 15,086,594,756.25/56,128.50
6. Step 6: Final answer
   x = 268,786.71