Finding the Third Proportional to 122,919 and 185,501

Step by Step Solution

1. Step 1: Write the proportion equation
   122,919 : 185,501 = 185,501 : x
2. Step 2: Convert to fraction form
   122,919/185,501 = 185,501/x
3. Step 3: Cross multiply
   122,919x = 185,501 × 185,501
4. Step 4: Simplify right side
   122,919x = 34,410,621,001
5. Step 5: Solve for x
   x = 34,410,621,001/122,919
6. Step 6: Final answer
   x = 279,945.50