Finding the Third Proportional to 123,468.75 and 184,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,468.75 : 184,675.50 = 184,675.50 : x
2. Step 2: Convert to fraction form
   123,468.75/184,675.50 = 184,675.50/x
3. Step 3: Cross multiply
   123,468.75x = 184,675.50 × 184,675.50
4. Step 4: Simplify right side
   123,468.75x = 34,105,040,300.25
5. Step 5: Solve for x
   x = 34,105,040,300.25/123,468.75
6. Step 6: Final answer
   x = 276,224.07