Finding the Third Proportional to 282,363 and 414,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,363 : 414,125.50 = 414,125.50 : x
2. Step 2: Convert to fraction form
   282,363/414,125.50 = 414,125.50/x
3. Step 3: Cross multiply
   282,363x = 414,125.50 × 414,125.50
4. Step 4: Simplify right side
   282,363x = 171,499,929,750.25
5. Step 5: Solve for x
   x = 171,499,929,750.25/282,363
6. Step 6: Final answer
   x = 607,373.95