Finding the Third Proportional to 116,932.50 and 182,243.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,932.50 : 182,243.25 = 182,243.25 : x
2. Step 2: Convert to fraction form
   116,932.50/182,243.25 = 182,243.25/x
3. Step 3: Cross multiply
   116,932.50x = 182,243.25 × 182,243.25
4. Step 4: Simplify right side
   116,932.50x = 33,212,602,170.56
5. Step 5: Solve for x
   x = 33,212,602,170.56/116,932.50
6. Step 6: Final answer
   x = 284,032.26