Finding the Third Proportional to 56,277.50 and 123,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,277.50 : 123,009.50 = 123,009.50 : x
2. Step 2: Convert to fraction form
   56,277.50/123,009.50 = 123,009.50/x
3. Step 3: Cross multiply
   56,277.50x = 123,009.50 × 123,009.50
4. Step 4: Simplify right side
   56,277.50x = 15,131,337,090.25
5. Step 5: Solve for x
   x = 15,131,337,090.25/56,277.50
6. Step 6: Final answer
   x = 268,870.10