Finding the Third Proportional to 122,860 and 185,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,860 : 185,155.50 = 185,155.50 : x
2. Step 2: Convert to fraction form
   122,860/185,155.50 = 185,155.50/x
3. Step 3: Cross multiply
   122,860x = 185,155.50 × 185,155.50
4. Step 4: Simplify right side
   122,860x = 34,282,559,180.25
5. Step 5: Solve for x
   x = 34,282,559,180.25/122,860
6. Step 6: Final answer
   x = 279,037.60