Finding the Third Proportional to 122,868 and 185,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,868 : 185,170.50 = 185,170.50 : x
2. Step 2: Convert to fraction form
   122,868/185,170.50 = 185,170.50/x
3. Step 3: Cross multiply
   122,868x = 185,170.50 × 185,170.50
4. Step 4: Simplify right side
   122,868x = 34,288,114,070.25
5. Step 5: Solve for x
   x = 34,288,114,070.25/122,868
6. Step 6: Final answer
   x = 279,064.64