Finding the Third Proportional to 123,438 and 184,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,438 : 184,348.50 = 184,348.50 : x
2. Step 2: Convert to fraction form
   123,438/184,348.50 = 184,348.50/x
3. Step 3: Cross multiply
   123,438x = 184,348.50 × 184,348.50
4. Step 4: Simplify right side
   123,438x = 33,984,369,452.25
5. Step 5: Solve for x
   x = 33,984,369,452.25/123,438
6. Step 6: Final answer
   x = 275,315.30