Finding the Third Proportional to 166,048.50 and 262,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,048.50 : 262,516.50 = 262,516.50 : x
2. Step 2: Convert to fraction form
   166,048.50/262,516.50 = 262,516.50/x
3. Step 3: Cross multiply
   166,048.50x = 262,516.50 × 262,516.50
4. Step 4: Simplify right side
   166,048.50x = 68,914,912,772.25
5. Step 5: Solve for x
   x = 68,914,912,772.25/166,048.50
6. Step 6: Final answer
   x = 415,028.82