Finding the Third Proportional to 123,354 and 264,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 264,199.50 = 264,199.50 : x
2. Step 2: Convert to fraction form
   123,354/264,199.50 = 264,199.50/x
3. Step 3: Cross multiply
   123,354x = 264,199.50 × 264,199.50
4. Step 4: Simplify right side
   123,354x = 69,801,375,800.25
5. Step 5: Solve for x
   x = 69,801,375,800.25/123,354
6. Step 6: Final answer
   x = 565,862.28