Finding the Third Proportional to 282,132 and 382,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,132 : 382,738.50 = 382,738.50 : x
2. Step 2: Convert to fraction form
   282,132/382,738.50 = 382,738.50/x
3. Step 3: Cross multiply
   282,132x = 382,738.50 × 382,738.50
4. Step 4: Simplify right side
   282,132x = 146,488,759,382.25
5. Step 5: Solve for x
   x = 146,488,759,382.25/282,132
6. Step 6: Final answer
   x = 519,220.65