Finding the Third Proportional to 143,748 and 205,836

Step by Step Solution

1. Step 1: Write the proportion equation
   143,748 : 205,836 = 205,836 : x
2. Step 2: Convert to fraction form
   143,748/205,836 = 205,836/x
3. Step 3: Cross multiply
   143,748x = 205,836 × 205,836
4. Step 4: Simplify right side
   143,748x = 42,368,458,896
5. Step 5: Solve for x
   x = 42,368,458,896/143,748
6. Step 6: Final answer
   x = 294,741.21