Finding the Third Proportional to 52,185.38 and 116,323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,185.38 : 116,323.25 = 116,323.25 : x
2. Step 2: Convert to fraction form
   52,185.38/116,323.25 = 116,323.25/x
3. Step 3: Cross multiply
   52,185.38x = 116,323.25 × 116,323.25
4. Step 4: Simplify right side
   52,185.38x = 13,531,098,490.56
5. Step 5: Solve for x
   x = 13,531,098,490.56/52,185.38
6. Step 6: Final answer
   x = 259,289.09