Finding the Third Proportional to 123,265.13 and 184,897.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,265.13 : 184,897.69 = 184,897.69 : x
2. Step 2: Convert to fraction form
   123,265.13/184,897.69 = 184,897.69/x
3. Step 3: Cross multiply
   123,265.13x = 184,897.69 × 184,897.69
4. Step 4: Simplify right side
   123,265.13x = 34,187,154,842.85
5. Step 5: Solve for x
   x = 34,187,154,842.85/123,265.13
6. Step 6: Final answer
   x = 277,346.53