Finding the Third Proportional to 145,138 and 205,550

Step by Step Solution

1. Step 1: Write the proportion equation
   145,138 : 205,550 = 205,550 : x
2. Step 2: Convert to fraction form
   145,138/205,550 = 205,550/x
3. Step 3: Cross multiply
   145,138x = 205,550 × 205,550
4. Step 4: Simplify right side
   145,138x = 42,250,802,500
5. Step 5: Solve for x
   x = 42,250,802,500/145,138
6. Step 6: Final answer
   x = 291,107.79