Finding the Third Proportional to 86,233.50 and 182,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,233.50 : 182,902.50 = 182,902.50 : x
2. Step 2: Convert to fraction form
   86,233.50/182,902.50 = 182,902.50/x
3. Step 3: Cross multiply
   86,233.50x = 182,902.50 × 182,902.50
4. Step 4: Simplify right side
   86,233.50x = 33,453,324,506.25
5. Step 5: Solve for x
   x = 33,453,324,506.25/86,233.50
6. Step 6: Final answer
   x = 387,938.85