Finding the Third Proportional to 123,216 and 264,834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 264,834.75 = 264,834.75 : x
2. Step 2: Convert to fraction form
   123,216/264,834.75 = 264,834.75/x
3. Step 3: Cross multiply
   123,216x = 264,834.75 × 264,834.75
4. Step 4: Simplify right side
   123,216x = 70,137,444,807.56
5. Step 5: Solve for x
   x = 70,137,444,807.56/123,216
6. Step 6: Final answer
   x = 569,223.52