Finding the Third Proportional to 122,448 and 187,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,448 : 187,297.50 = 187,297.50 : x
2. Step 2: Convert to fraction form
   122,448/187,297.50 = 187,297.50/x
3. Step 3: Cross multiply
   122,448x = 187,297.50 × 187,297.50
4. Step 4: Simplify right side
   122,448x = 35,080,353,506.25
5. Step 5: Solve for x
   x = 35,080,353,506.25/122,448
6. Step 6: Final answer
   x = 286,491.85