Finding the Third Proportional to 282,130 and 382,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,130 : 382,735.50 = 382,735.50 : x
2. Step 2: Convert to fraction form
   282,130/382,735.50 = 382,735.50/x
3. Step 3: Cross multiply
   282,130x = 382,735.50 × 382,735.50
4. Step 4: Simplify right side
   282,130x = 146,486,462,960.25
5. Step 5: Solve for x
   x = 146,486,462,960.25/282,130
6. Step 6: Final answer
   x = 519,216.19