Finding the Third Proportional to 123,071 and 184,402

Step by Step Solution

1. Step 1: Write the proportion equation
   123,071 : 184,402 = 184,402 : x
2. Step 2: Convert to fraction form
   123,071/184,402 = 184,402/x
3. Step 3: Cross multiply
   123,071x = 184,402 × 184,402
4. Step 4: Simplify right side
   123,071x = 34,004,097,604
5. Step 5: Solve for x
   x = 34,004,097,604/123,071
6. Step 6: Final answer
   x = 276,296.59