Finding the Third Proportional to 123,329.25 and 184,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,329.25 : 184,498.50 = 184,498.50 : x
2. Step 2: Convert to fraction form
   123,329.25/184,498.50 = 184,498.50/x
3. Step 3: Cross multiply
   123,329.25x = 184,498.50 × 184,498.50
4. Step 4: Simplify right side
   123,329.25x = 34,039,696,502.25
5. Step 5: Solve for x
   x = 34,039,696,502.25/123,329.25
6. Step 6: Final answer
   x = 276,006.68