Finding the Third Proportional to 144,736.13 and 206,784

Step by Step Solution

1. Step 1: Write the proportion equation
   144,736.13 : 206,784 = 206,784 : x
2. Step 2: Convert to fraction form
   144,736.13/206,784 = 206,784/x
3. Step 3: Cross multiply
   144,736.13x = 206,784 × 206,784
4. Step 4: Simplify right side
   144,736.13x = 42,759,622,656
5. Step 5: Solve for x
   x = 42,759,622,656/144,736.13
6. Step 6: Final answer
   x = 295,431.58