Finding the Third Proportional to 123,633 and 264,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,633 : 264,755.25 = 264,755.25 : x
2. Step 2: Convert to fraction form
   123,633/264,755.25 = 264,755.25/x
3. Step 3: Cross multiply
   123,633x = 264,755.25 × 264,755.25
4. Step 4: Simplify right side
   123,633x = 70,095,342,402.56
5. Step 5: Solve for x
   x = 70,095,342,402.56/123,633
6. Step 6: Final answer
   x = 566,963.05