Finding the Third Proportional to 123,223 and 185,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,223 : 185,710.50 = 185,710.50 : x
2. Step 2: Convert to fraction form
   123,223/185,710.50 = 185,710.50/x
3. Step 3: Cross multiply
   123,223x = 185,710.50 × 185,710.50
4. Step 4: Simplify right side
   123,223x = 34,488,389,810.25
5. Step 5: Solve for x
   x = 34,488,389,810.25/123,223
6. Step 6: Final answer
   x = 279,885.98