Finding the Third Proportional to 123,199.75 and 264,812

Step by Step Solution

1. Step 1: Write the proportion equation
   123,199.75 : 264,812 = 264,812 : x
2. Step 2: Convert to fraction form
   123,199.75/264,812 = 264,812/x
3. Step 3: Cross multiply
   123,199.75x = 264,812 × 264,812
4. Step 4: Simplify right side
   123,199.75x = 70,125,395,344
5. Step 5: Solve for x
   x = 70,125,395,344/123,199.75
6. Step 6: Final answer
   x = 569,200.79