Finding the Third Proportional to 282,123 and 432,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,123 : 432,040.50 = 432,040.50 : x
2. Step 2: Convert to fraction form
   282,123/432,040.50 = 432,040.50/x
3. Step 3: Cross multiply
   282,123x = 432,040.50 × 432,040.50
4. Step 4: Simplify right side
   282,123x = 186,658,993,640.25
5. Step 5: Solve for x
   x = 186,658,993,640.25/282,123
6. Step 6: Final answer
   x = 661,622.74