Finding the Third Proportional to 144,532 and 205,424

Step by Step Solution

1. Step 1: Write the proportion equation
   144,532 : 205,424 = 205,424 : x
2. Step 2: Convert to fraction form
   144,532/205,424 = 205,424/x
3. Step 3: Cross multiply
   144,532x = 205,424 × 205,424
4. Step 4: Simplify right side
   144,532x = 42,199,019,776
5. Step 5: Solve for x
   x = 42,199,019,776/144,532
6. Step 6: Final answer
   x = 291,970.08