Finding the Third Proportional to 113,277 and 264,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,277 : 264,562.50 = 264,562.50 : x
2. Step 2: Convert to fraction form
   113,277/264,562.50 = 264,562.50/x
3. Step 3: Cross multiply
   113,277x = 264,562.50 × 264,562.50
4. Step 4: Simplify right side
   113,277x = 69,993,316,406.25
5. Step 5: Solve for x
   x = 69,993,316,406.25/113,277
6. Step 6: Final answer
   x = 617,895.22