Finding the Third Proportional to 123,222.50 and 185,709.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,222.50 : 185,709.75 = 185,709.75 : x
2. Step 2: Convert to fraction form
   123,222.50/185,709.75 = 185,709.75/x
3. Step 3: Cross multiply
   123,222.50x = 185,709.75 × 185,709.75
4. Step 4: Simplify right side
   123,222.50x = 34,488,111,245.06
5. Step 5: Solve for x
   x = 34,488,111,245.06/123,222.50
6. Step 6: Final answer
   x = 279,884.85