Finding the Third Proportional to 122,533 and 187,404

Step by Step Solution

1. Step 1: Write the proportion equation
   122,533 : 187,404 = 187,404 : x
2. Step 2: Convert to fraction form
   122,533/187,404 = 187,404/x
3. Step 3: Cross multiply
   122,533x = 187,404 × 187,404
4. Step 4: Simplify right side
   122,533x = 35,120,259,216
5. Step 5: Solve for x
   x = 35,120,259,216/122,533
6. Step 6: Final answer
   x = 286,618.78