Finding the Third Proportional to 144,528 and 205,417

Step by Step Solution

1. Step 1: Write the proportion equation
   144,528 : 205,417 = 205,417 : x
2. Step 2: Convert to fraction form
   144,528/205,417 = 205,417/x
3. Step 3: Cross multiply
   144,528x = 205,417 × 205,417
4. Step 4: Simplify right side
   144,528x = 42,196,143,889
5. Step 5: Solve for x
   x = 42,196,143,889/144,528
6. Step 6: Final answer
   x = 291,958.26