Finding the Third Proportional to 53,747 and 116,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,747 : 116,698.50 = 116,698.50 : x
2. Step 2: Convert to fraction form
   53,747/116,698.50 = 116,698.50/x
3. Step 3: Cross multiply
   53,747x = 116,698.50 × 116,698.50
4. Step 4: Simplify right side
   53,747x = 13,618,539,902.25
5. Step 5: Solve for x
   x = 13,618,539,902.25/53,747
6. Step 6: Final answer
   x = 253,382.33