Finding the Third Proportional to 123,538.50 and 184,754.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,538.50 : 184,754.25 = 184,754.25 : x
2. Step 2: Convert to fraction form
   123,538.50/184,754.25 = 184,754.25/x
3. Step 3: Cross multiply
   123,538.50x = 184,754.25 × 184,754.25
4. Step 4: Simplify right side
   123,538.50x = 34,134,132,893.06
5. Step 5: Solve for x
   x = 34,134,132,893.06/123,538.50
6. Step 6: Final answer
   x = 276,303.60