Finding the Third Proportional to 78,355.50 and 166,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,355.50 : 166,825.50 = 166,825.50 : x
2. Step 2: Convert to fraction form
   78,355.50/166,825.50 = 166,825.50/x
3. Step 3: Cross multiply
   78,355.50x = 166,825.50 × 166,825.50
4. Step 4: Simplify right side
   78,355.50x = 27,830,747,450.25
5. Step 5: Solve for x
   x = 27,830,747,450.25/78,355.50
6. Step 6: Final answer
   x = 355,185.63