Finding the Third Proportional to 262,005.50 and 561,397

Step by Step Solution

1. Step 1: Write the proportion equation
   262,005.50 : 561,397 = 561,397 : x
2. Step 2: Convert to fraction form
   262,005.50/561,397 = 561,397/x
3. Step 3: Cross multiply
   262,005.50x = 561,397 × 561,397
4. Step 4: Simplify right side
   262,005.50x = 315,166,591,609
5. Step 5: Solve for x
   x = 315,166,591,609/262,005.50
6. Step 6: Final answer
   x = 1,202,900.67