Finding the Third Proportional to 124,468.50 and 185,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,468.50 : 185,890.50 = 185,890.50 : x
2. Step 2: Convert to fraction form
   124,468.50/185,890.50 = 185,890.50/x
3. Step 3: Cross multiply
   124,468.50x = 185,890.50 × 185,890.50
4. Step 4: Simplify right side
   124,468.50x = 34,555,277,990.25
5. Step 5: Solve for x
   x = 34,555,277,990.25/124,468.50
6. Step 6: Final answer
   x = 277,622.68