Finding the Third Proportional to 123,466.50 and 184,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,466.50 : 184,468.50 = 184,468.50 : x
2. Step 2: Convert to fraction form
   123,466.50/184,468.50 = 184,468.50/x
3. Step 3: Cross multiply
   123,466.50x = 184,468.50 × 184,468.50
4. Step 4: Simplify right side
   123,466.50x = 34,028,627,492.25
5. Step 5: Solve for x
   x = 34,028,627,492.25/123,466.50
6. Step 6: Final answer
   x = 275,610.21