Finding the Third Proportional to 83,233.50 and 182,012.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,233.50 : 182,012.25 = 182,012.25 : x
2. Step 2: Convert to fraction form
   83,233.50/182,012.25 = 182,012.25/x
3. Step 3: Cross multiply
   83,233.50x = 182,012.25 × 182,012.25
4. Step 4: Simplify right side
   83,233.50x = 33,128,459,150.06
5. Step 5: Solve for x
   x = 33,128,459,150.06/83,233.50
6. Step 6: Final answer
   x = 398,018.34