Finding the Third Proportional to 113,973 and 263,826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   113,973 : 263,826.75 = 263,826.75 : x
2. Step 2: Convert to fraction form
   113,973/263,826.75 = 263,826.75/x
3. Step 3: Cross multiply
   113,973x = 263,826.75 × 263,826.75
4. Step 4: Simplify right side
   113,973x = 69,604,554,015.56
5. Step 5: Solve for x
   x = 69,604,554,015.56/113,973
6. Step 6: Final answer
   x = 610,710.91