Finding the Third Proportional to 282,681 and 382,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,681 : 382,099.50 = 382,099.50 : x
2. Step 2: Convert to fraction form
   282,681/382,099.50 = 382,099.50/x
3. Step 3: Cross multiply
   282,681x = 382,099.50 × 382,099.50
4. Step 4: Simplify right side
   282,681x = 146,000,027,900.25
5. Step 5: Solve for x
   x = 146,000,027,900.25/282,681
6. Step 6: Final answer
   x = 516,483.34