Finding the Third Proportional to 122,536 and 187,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,536 : 187,408.50 = 187,408.50 : x
2. Step 2: Convert to fraction form
   122,536/187,408.50 = 187,408.50/x
3. Step 3: Cross multiply
   122,536x = 187,408.50 × 187,408.50
4. Step 4: Simplify right side
   122,536x = 35,121,945,872.25
5. Step 5: Solve for x
   x = 35,121,945,872.25/122,536
6. Step 6: Final answer
   x = 286,625.53