Finding the Third Proportional to 122,928.50 and 185,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,928.50 : 185,523.50 = 185,523.50 : x
2. Step 2: Convert to fraction form
   122,928.50/185,523.50 = 185,523.50/x
3. Step 3: Cross multiply
   122,928.50x = 185,523.50 × 185,523.50
4. Step 4: Simplify right side
   122,928.50x = 34,418,969,052.25
5. Step 5: Solve for x
   x = 34,418,969,052.25/122,928.50
6. Step 6: Final answer
   x = 279,991.78