Finding the Third Proportional to 122,985 and 188,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,985 : 188,046.50 = 188,046.50 : x
2. Step 2: Convert to fraction form
   122,985/188,046.50 = 188,046.50/x
3. Step 3: Cross multiply
   122,985x = 188,046.50 × 188,046.50
4. Step 4: Simplify right side
   122,985x = 35,361,486,162.25
5. Step 5: Solve for x
   x = 35,361,486,162.25/122,985
6. Step 6: Final answer
   x = 287,526.82