Finding the Third Proportional to 53,474 and 116,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,474 : 116,185.50 = 116,185.50 : x
2. Step 2: Convert to fraction form
   53,474/116,185.50 = 116,185.50/x
3. Step 3: Cross multiply
   53,474x = 116,185.50 × 116,185.50
4. Step 4: Simplify right side
   53,474x = 13,499,070,410.25
5. Step 5: Solve for x
   x = 13,499,070,410.25/53,474
6. Step 6: Final answer
   x = 252,441.76