Finding the Third Proportional to 123,025.50 and 264,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,025.50 : 264,367.50 = 264,367.50 : x
2. Step 2: Convert to fraction form
   123,025.50/264,367.50 = 264,367.50/x
3. Step 3: Cross multiply
   123,025.50x = 264,367.50 × 264,367.50
4. Step 4: Simplify right side
   123,025.50x = 69,890,175,056.25
5. Step 5: Solve for x
   x = 69,890,175,056.25/123,025.50
6. Step 6: Final answer
   x = 568,095.03