Finding the Third Proportional to 51,907.50 and 113,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,907.50 : 113,506.50 = 113,506.50 : x
2. Step 2: Convert to fraction form
   51,907.50/113,506.50 = 113,506.50/x
3. Step 3: Cross multiply
   51,907.50x = 113,506.50 × 113,506.50
4. Step 4: Simplify right side
   51,907.50x = 12,883,725,542.25
5. Step 5: Solve for x
   x = 12,883,725,542.25/51,907.50
6. Step 6: Final answer
   x = 248,205.47