Finding the Third Proportional to 123,340.50 and 184,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,340.50 : 184,513.50 = 184,513.50 : x
2. Step 2: Convert to fraction form
   123,340.50/184,513.50 = 184,513.50/x
3. Step 3: Cross multiply
   123,340.50x = 184,513.50 × 184,513.50
4. Step 4: Simplify right side
   123,340.50x = 34,045,231,682.25
5. Step 5: Solve for x
   x = 34,045,231,682.25/123,340.50
6. Step 6: Final answer
   x = 276,026.38