Finding the Third Proportional to 123,329.25 and 264,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,329.25 : 264,154.50 = 264,154.50 : x
2. Step 2: Convert to fraction form
   123,329.25/264,154.50 = 264,154.50/x
3. Step 3: Cross multiply
   123,329.25x = 264,154.50 × 264,154.50
4. Step 4: Simplify right side
   123,329.25x = 69,777,599,870.25
5. Step 5: Solve for x
   x = 69,777,599,870.25/123,329.25
6. Step 6: Final answer
   x = 565,783.06