Finding the Third Proportional to 78,410.50 and 166,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,410.50 : 166,935.50 = 166,935.50 : x
2. Step 2: Convert to fraction form
   78,410.50/166,935.50 = 166,935.50/x
3. Step 3: Cross multiply
   78,410.50x = 166,935.50 × 166,935.50
4. Step 4: Simplify right side
   78,410.50x = 27,867,461,160.25
5. Step 5: Solve for x
   x = 27,867,461,160.25/78,410.50
6. Step 6: Final answer
   x = 355,404.71