Finding the Third Proportional to 241,471 and 382,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   241,471 : 382,274.50 = 382,274.50 : x
2. Step 2: Convert to fraction form
   241,471/382,274.50 = 382,274.50/x
3. Step 3: Cross multiply
   241,471x = 382,274.50 × 382,274.50
4. Step 4: Simplify right side
   241,471x = 146,133,793,350.25
5. Step 5: Solve for x
   x = 146,133,793,350.25/241,471
6. Step 6: Final answer
   x = 605,181.55