Finding the Third Proportional to 123,069 and 264,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,069 : 264,997.50 = 264,997.50 : x
2. Step 2: Convert to fraction form
   123,069/264,997.50 = 264,997.50/x
3. Step 3: Cross multiply
   123,069x = 264,997.50 × 264,997.50
4. Step 4: Simplify right side
   123,069x = 70,223,675,006.25
5. Step 5: Solve for x
   x = 70,223,675,006.25/123,069
6. Step 6: Final answer
   x = 570,604.09