Finding the Third Proportional to 83,150.75 and 182,910.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,150.75 : 182,910.25 = 182,910.25 : x
2. Step 2: Convert to fraction form
   83,150.75/182,910.25 = 182,910.25/x
3. Step 3: Cross multiply
   83,150.75x = 182,910.25 × 182,910.25
4. Step 4: Simplify right side
   83,150.75x = 33,456,159,555.06
5. Step 5: Solve for x
   x = 33,456,159,555.06/83,150.75
6. Step 6: Final answer
   x = 402,355.48