Finding the Third Proportional to 123,354 and 185,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 185,029.50 = 185,029.50 : x
2. Step 2: Convert to fraction form
   123,354/185,029.50 = 185,029.50/x
3. Step 3: Cross multiply
   123,354x = 185,029.50 × 185,029.50
4. Step 4: Simplify right side
   123,354x = 34,235,915,870.25
5. Step 5: Solve for x
   x = 34,235,915,870.25/123,354
6. Step 6: Final answer
   x = 277,542.00