Finding the Third Proportional to 138,285.50 and 206,546

Step by Step Solution

1. Step 1: Write the proportion equation
   138,285.50 : 206,546 = 206,546 : x
2. Step 2: Convert to fraction form
   138,285.50/206,546 = 206,546/x
3. Step 3: Cross multiply
   138,285.50x = 206,546 × 206,546
4. Step 4: Simplify right side
   138,285.50x = 42,661,250,116
5. Step 5: Solve for x
   x = 42,661,250,116/138,285.50
6. Step 6: Final answer
   x = 308,501.25