Finding the Third Proportional to 123,071.75 and 184,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,071.75 : 184,402.50 = 184,402.50 : x
2. Step 2: Convert to fraction form
   123,071.75/184,402.50 = 184,402.50/x
3. Step 3: Cross multiply
   123,071.75x = 184,402.50 × 184,402.50
4. Step 4: Simplify right side
   123,071.75x = 34,004,282,006.25
5. Step 5: Solve for x
   x = 34,004,282,006.25/123,071.75
6. Step 6: Final answer
   x = 276,296.40